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Journal articles on the topic 'Syzygieae'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Vasconcelos, Thais N. C., Eve J. Lucas, Maria Conejero, Augusto Giaretta, and Gerhard Prenner. "Convergent evolution in calyptrate flowers of Syzygieae (Myrtaceae)." Botanical Journal of the Linnean Society 192, no. 3 (2019): 498–509. http://dx.doi.org/10.1093/botlinnean/boz105.

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Abstract Shedding a fused perianth as a calyptra at anthesis is a trait that has evolved independently multiple times in angiosperm evolutionary history. However, calyptras do not correspond to homologous structures in all cases. Here, we describe calyptra development in the evolutionary context of Myrtaceae tribe Syzygieae. We use scanning electron and light microscopy to contrast calyptra development in calyptrate and non-calyptrate species in the group. Results show that calyptras in Syzygieae are not all homologous, but correspond to two ontogenetically distinct structures involving differ

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2

Thornhill, Andrew H., Geoff S. Hope, Lyn A. Craven, and Michael D. Crisp. "Pollen morphology of the Myrtaceae. Part 2: tribes Backhousieae, Melaleuceae, Metrosidereae, Osbornieae and Syzygieae." Australian Journal of Botany 60, no. 3 (2012): 200. http://dx.doi.org/10.1071/bt11175.

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Pollen morphology of 16 genera and 101 species from the Myrtaceae tribes Backhousieae, Melaleuceae, Metrosidereae, Osbornieae and Syzygieae was surveyed using scanning electron microscopy (SEM) and light microscopy (LM). The most common pollen type observed in these tribes was parasyncolpate with arcuate or angular colpi, and a rugulate exine pattern. There was little size variation in observed pollen, except for larger pollen in tribe Melaleuceae. All Metrosideros pollen grains had apocolpial islands, as well as all Callistemon species viewed by LM. Choricarpia of tribe Backhousieae had polle

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3

da Silva, Cleber J., Luiz Cláudio de A. Barbosa, Ana E. Marques, Maria Cristina Baracat-Pereira, Antônio L. Pinheiro, and Renata M. S. A. Meira. "Anatomical characterisation of the foliar colleters in Myrtoideae (Myrtaceae)." Australian Journal of Botany 60, no. 8 (2012): 707. http://dx.doi.org/10.1071/bt12149.

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Colleters are secretory structures that occur in vegetative or reproductive shoot apices of many botanical families. However, in the order Myrtales, reports of colleters have considered only external morphology. We therefore evaluated apical meristems of 52 species belonging to 17 genera from seven tribes of subfamily Myrtoideae (Myrtaceae), so as to analyse the incidence and morphological types of colleters. The samples were fixed for light and scanning electron microscopy. Histochemical tests were carried out on fresh and methacrylate-embedded material. Proteins of the colleter secretions we

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4

Salamon, Mariusz A., Michat Zatoń, and Przemysław Gorzelak. "Syzygial brachials from the upper Muschelkalk (Middle Triassic, Ladinian) of Poland and their implication for an early origin of comatulid crinoids." Journal of Paleontology 82, no. 3 (2008): 634–37. http://dx.doi.org/10.1666/06-108.1.

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According to Ubaghs (1978), syzygies are brachial articulations in which radiating ridges and furrows on the two joint faces oppose each other rather than interlock as in symplexies. Cryptosyzygies differ from syzygies by having very short ridges that may be replaced by rows of tubercles or granules, with a tendency toward irregular arrangement and disappearance. Among Triassic crinoids, only representatives of the orders Isocrinida Sieverts-Doreck, 1952 and Comatulida Clark, 1908 had cryptosyzygial or syzygial brachial articulation, respectively. According to Rasmussen (1978), among Isocrinid

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5

Bueno, M., and A. A. V. Flores. "Tidal-amplitude rhythms of larval release: variable departure from presumed optimal timing among populations of the mottled shore crab." Journal of the Marine Biological Association of the United Kingdom 90, no. 5 (2010): 859–65. http://dx.doi.org/10.1017/s0025315410000044.

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It is widely assumed that optimal timing of larval release is of major importance to offspring survival, but the extent to which environmental factors entrain synchronous reproductive rhythms in natural populations is not well known. We sampled the broods of ovigerous females of the common shore crab Pachygrapsus transversus at both sheltered and exposed rocky shores interspersed along a 50-km coastline, during four different periods, to better assess inter-population differences of larval release timing and to test for the effect of wave action. Shore-specific patterns were consistent through

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6

Rota, Gian-Carlo. "Syzygies." Advances in Mathematics 61, no. 2 (1986): 184. http://dx.doi.org/10.1016/0001-8708(86)90079-4.

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7

Kreuzer, Martin, and Markus Kriegl. "Gröbner bases for syzygy modules of border bases." Journal of Algebra and Its Applications 13, no. 06 (2014): 1450003. http://dx.doi.org/10.1142/s0219498814500030.

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Given an order ideal 𝒪 and an 𝒪-border basis of a 0-dimensional polynomial ideal, it was shown by Huibregtse that the liftings of the neighbor syzygies (i.e. of the fundamental syzygies of neighboring border terms) form a system of generators for the syzygy module of the border basis. We elaborate on Huibregtse's proof and transform it into explicit algorithmic form. Based on this, we are able to exhibit explicit conditions on a module term ordering τ such that the liftings of the neighbor syzygies are in fact a τ-Gröbner basis. Finally, we construct term orderings satisfying these conditions

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8

Brambach, Fabian, James W. Byng, and Heike Culmsee. "Five new species of Syzygium (Myrtaceae) from Sulawesi, Indonesia." PhytoKeys 81 (June 15, 2017): 47–78. https://doi.org/10.3897/phytokeys.81.13488.

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Following ongoing ecological research on the tree diversity of the Indonesian island of Sulawesi, we describe five new species of Syzygium. These are the first descriptions of Syzygium species from the island since Blume (1850, Jambosa celebica and J. cornifolia), highlighting the significant lack of taxonomic research on the genus for the region. The five species proposed as new are Syzygium balgooyi sp. nov., Syzygium contiguum sp. nov., Syzygium devogelii sp. nov., Syzygium eymae sp. nov., and Syzygium galanthum sp. nov. All species are illustrated and information on their distribution, eco

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9

O'Carroll, Liam, and Dorin Popescu. "Splitting Syzygies." Journal of Algebra 228, no. 2 (2000): 682–709. http://dx.doi.org/10.1006/jabr.2000.8295.

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10

Aprodu, Marian, and Gavril Farkas. "Green’s conjecture for curves on arbitrary K3 surfaces." Compositio Mathematica 147, no. 3 (2011): 839–51. http://dx.doi.org/10.1112/s0010437x10005099.

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AbstractGreen’s conjecture predicts than one can read off special linear series on an algebraic curve, by looking at the syzygies of its canonical embedding. We extend Voisin’s results on syzygies of K3 sections, to the case of K3 surfaces with arbitrary Picard lattice. This, coupled with results of Voisin and Hirschowitz–Ramanan, provides a complete solution to Green’s conjecture for smooth curves on arbitrary K3 surfaces.

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11

Chardin, Marc, and Peter Symonds. "Degree bounds on homology and a conjecture of Derksen." Compositio Mathematica 152, no. 10 (2016): 2041–49. http://dx.doi.org/10.1112/s0010437x16007430.

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Harm Derksen made a conjecture concerning degree bounds for the syzygies of rings of polynomial invariants in the non-modular case [Degree bounds for syzygies of invariants, Adv. Math. 185 (2004), 207–214]. We provide counterexamples to this conjecture, but also prove a slightly weakened version. We also prove some general results that give degree bounds on the homology of complexes and of $\text{Tor}\,$ groups.

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12

Gallego, F. J., and B. P. Purnaprajna. "Projective normality and syzygies of algebraic surfaces." Journal für die reine und angewandte Mathematik (Crelles Journal) 1999, no. 506 (1999): 145–80. http://dx.doi.org/10.1515/crll.1999.506.145.

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Abstract In this work we develop new techniques to compute Koszul cohomology groups for several classes of varieties. As applications we prove results on projective normality and syzygies for algebraic surfaces. From more general results we obtain in particular the following: Mukai's conjecture (and stronger variants of it) regarding projective normality and normal presentation for surfaces with Kodaira dimension 0, and uniform bounds for higher syzygies associated to adjoint linear series,effective bounds along the lines of Mukai's conjecture regarding projective normality and normal presenta

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13

Watanabe, Junzo. "The syzygies of m-full ideals." Mathematical Proceedings of the Cambridge Philosophical Society 109, no. 1 (1991): 7–13. http://dx.doi.org/10.1017/s0305004100069528.

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The concept of an m-full ideal was introduced and studied first by D. Rees (unpublished). In 1983, after having considered and discussed the concept with Professor Rees, the author showed some properties of these ideals in [11], and other authors also have obtained results related to them (cf. [5, 7]). The purpose of this paper is to seek syzygies of m-full ideals and try to analyze their structure. Let a be an m-full ideal, and ᾱ the reduction by a general element. Then it is possible to determine the number of basic syzygies of a in terms of ᾱ. We show that this leads to a method for obtaini

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14

Arne Sikko, Svein. "Resolutions withnth Syzygies." Communications in Algebra 23, no. 10 (1995): 3729–39. http://dx.doi.org/10.1080/00927879508825429.

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15

Montgomery, Richard. "Infinitely Many Syzygies." Archive for Rational Mechanics and Analysis 164, no. 4 (2002): 311–40. http://dx.doi.org/10.1007/s00205-002-0211-z.

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16

Jothilingam, P. "Syzygies and ext." Mathematische Zeitschrift 188, no. 2 (1985): 279–82. http://dx.doi.org/10.1007/bf01304215.

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17

Ger, Roman. "Symmetry of Syzygies of a System of Functional Equations Defining a Ring Homomorphism." Symmetry 13, no. 12 (2021): 2343. http://dx.doi.org/10.3390/sym13122343.

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I deal with an alienation problem for the system of two fundamental Cauchy functional equations with an unknown function f mapping a ring X into an integral domain Y and preserving binary operations of addition and multiplication, respectively. The resulting syzygies obtained by adding (resp. multiplying) these two equations side by side are discussed. The first of these two syzygies was first examined by Jean Dhombres in 1988 who proved that under some additional conditions concering the domain and range rings it forces f to be a ring homomorphism (alienation phenomenon). The novelty of the p

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18

Hage, Nohra, and Philippe Malbos. "Chinese syzygies by insertions." Semigroup Forum 104, no. 1 (2022): 88–108. http://dx.doi.org/10.1007/s00233-021-10244-4.

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19

Dao, Hailong, Osamu Iyama, Srikanth B. Iyengar, Ryo Takahashi, Michael Wemyss, and Yuji Yoshino. "Noncommutative resolutions using syzygies." Bulletin of the London Mathematical Society 51, no. 1 (2018): 43–48. http://dx.doi.org/10.1112/blms.12210.

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20

Fløystad, Gunnar, Jason McCullough, and Irena Peeva. "Three themes of syzygies." Bulletin of the American Mathematical Society 53, no. 3 (2016): 415–35. http://dx.doi.org/10.1090/bull/1533.

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21

Teixidor i Bigas, Montserrat. "Syzygies using vector bundles." Transactions of the American Mathematical Society 359, no. 2 (2006): 897–908. http://dx.doi.org/10.1090/s0002-9947-06-03921-3.

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22

Campillo, Antonio, and Philippe Giménez. "Graphes arithmétiques et syzygies." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 324, no. 3 (1997): 313–16. http://dx.doi.org/10.1016/s0764-4442(99)80367-x.

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23

Wang, Haohao, and Ron Goldman. "Syzygies for translational surfaces." Journal of Symbolic Computation 89 (November 2018): 73–93. http://dx.doi.org/10.1016/j.jsc.2017.11.004.

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24

Pareschi, Giuseppe. "Syzygies of abelian varieties." Journal of the American Mathematical Society 13, no. 3 (2000): 651–64. http://dx.doi.org/10.1090/s0894-0347-00-00335-0.

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25

Hulek, Klaus, Sheldon Katz, and Frank-Olaf Schreyer. "Cremona transformations and syzygies." Mathematische Zeitschrift 209, no. 1 (1992): 419–43. http://dx.doi.org/10.1007/bf02570843.

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26

Park, Euisung. "Syzygies of projective bundles." Journal of Pure and Applied Algebra 211, no. 1 (2007): 15–23. http://dx.doi.org/10.1016/j.jpaa.2006.12.010.

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27

Chenavier, Cyrille. "Syzygies among reduction operators." Journal of Pure and Applied Algebra 223, no. 2 (2019): 721–37. http://dx.doi.org/10.1016/j.jpaa.2018.04.017.

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28

Sturmfels, Bernd, Alexander Postnikov, and Isabella Novik. "Syzygies of oriented matroids." Duke Mathematical Journal 111, no. 2 (2002): 287–317. http://dx.doi.org/10.1215/s0012-7094-02-11124-7.

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29

Hoshino, Mitsuo. "Syzygies and Gorenstein rings." Archiv der Mathematik 55, no. 4 (1990): 355–60. http://dx.doi.org/10.1007/bf01198473.

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30

Ene, Viviana. "Syzygies of Hibi Rings." Acta Mathematica Vietnamica 40, no. 3 (2015): 403–46. http://dx.doi.org/10.1007/s40306-015-0117-0.

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31

La Barbiera, M., M. Lahyane, and G. Restuccia. "The Jacobian Dual of Certain Mixed Product Ideals." Algebra Colloquium 27, no. 02 (2020): 263–80. http://dx.doi.org/10.1142/s1005386720000218.

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We consider the symmetric algebra of a class of monomial ideals generated by s-sequences. For these ideals with linear syzygies, we determine their Jacobian dual modules and study their duality properties.

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32

Bullock, Doug, Charles Frohman, and Joanna Kania-Bartoszyńska. "Skein Homology." Canadian Mathematical Bulletin 41, no. 2 (1998): 140–44. http://dx.doi.org/10.4153/cmb-1998-022-1.

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AbstractA new class of homology groups associated to a 3-manifold is defined. The theories measure the syzygies between skein relations in a skein module. We investigate some of the properties of the homology theory associated to the Kauffman bracket.

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33

MONTGOMERY, RICHARD. "The zero angular momentum, three-body problem: All but one solution has syzygies." Ergodic Theory and Dynamical Systems 27, no. 6 (2007): 1933–46. http://dx.doi.org/10.1017/s0143385707000338.

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AbstractA syzygy in the three-body problem is a collinear instant. We prove that, with the exception of Lagrange’s solution, every solution to the zero angular momentum, Newtonian three-body problem suffers syzygies. The proof works for all mass ratios.

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34

Saha, Joydip, Indranath Sengupta, and Pranjal Srivastava. "Projective Closures of Affine Monomial Curves." Algebra Colloquium 32, no. 02 (2025): 199–228. https://doi.org/10.1142/s1005386725000161.

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We study the projective closures of three important families of affine monomial curves in dimension 4, namely the Backelin curve, the Bresinsky curve and the Arslan curve, in order to explore possible connections between syzygies and the arithmetic Cohen-Macaulay property.

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35

Inamdar, S. P. "On syzygies of projective varieties." Pacific Journal of Mathematics 177, no. 1 (1997): 71–76. http://dx.doi.org/10.2140/pjm.1997.177.71.

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36

Berkesch, Christine. "The Geometry of Toric Syzygies." Notices of the American Mathematical Society 67, no. 04 (2020): 1. http://dx.doi.org/10.1090/noti2068.

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37

Manjunath, Madhusudan. "Syzygies over the polytope semiring." Journal of the London Mathematical Society 96, no. 2 (2017): 482–500. http://dx.doi.org/10.1112/jlms.12065.

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38

Rubei, Elena. "On syzygies of Segre embeddings." Proceedings of the American Mathematical Society 130, no. 12 (2002): 3483–93. http://dx.doi.org/10.1090/s0002-9939-02-06597-8.

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39

Malheiro, António, and José Francisco Reis. "Identification of proofs via syzygies." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2140 (2019): 20180275. http://dx.doi.org/10.1098/rsta.2018.0275.

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In 1900, Hilbert gave a lecture at the International Congress of Mathematicians in Paris, for which he prepared 23 problems that mathematicians should solve during the twentieth century. It was found that there was a note on a 24th problem focusing on the problem of simplicity of proofs. One of the lines of research that was generated from this problem was the identification of proofs. In this article, we present a possible method for exploring the identification of proofs based on the membership problem original from the theory of polynomial rings. To show this, we start by giving a complete

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40

Greco, Ornella, and Ivan Martino. "Syzygies of the Veronese Modules." Communications in Algebra 44, no. 9 (2016): 3890–906. http://dx.doi.org/10.1080/00927872.2015.1027389.

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41

Netay, I. V. "Syzygies of quadratic Veronese embedding." Sbornik: Mathematics 208, no. 2 (2017): 200–222. http://dx.doi.org/10.1070/sm8459.

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42

Rubei, Elena. "On syzygies of abelian varieties." Transactions of the American Mathematical Society 352, no. 6 (2000): 2569–79. http://dx.doi.org/10.1090/s0002-9947-00-02398-9.

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43

Eröcal, Burçin, Oleksandr Motsak, Frank-Olaf Schreyer, and Andreas Steenpaß. "Refined algorithms to compute syzygies." Journal of Symbolic Computation 74 (May 2016): 308–27. http://dx.doi.org/10.1016/j.jsc.2015.07.004.

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44

Dinwoodie, Ian H. "Syzygies for Metropolis base chains." Linear Algebra and its Applications 434, no. 10 (2011): 2176–86. http://dx.doi.org/10.1016/j.laa.2010.12.021.

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45

Gaillard, Pierre-Yves. "Invariant syzygies and semisimple groups." Advances in Mathematics 92, no. 1 (1992): 27–46. http://dx.doi.org/10.1016/0001-8708(92)90060-x.

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46

Simis, Aron, and Rafael H. Villarreal. "Linear syzygies and birational combinatorics." Results in Mathematics 48, no. 3-4 (2005): 326–43. http://dx.doi.org/10.1007/bf03323372.

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47

Lazarsfeld, Robert, and Kyungyong Lee. "Local syzygies of multiplier ideals." Inventiones mathematicae 167, no. 2 (2006): 409–18. http://dx.doi.org/10.1007/s00222-006-0019-9.

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48

Ein, Lawrence, and Robert Lazarsfeld. "Asymptotic syzygies of algebraic varieties." Inventiones mathematicae 190, no. 3 (2012): 603–46. http://dx.doi.org/10.1007/s00222-012-0384-5.

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49

Park, Euisung. "On syzygies of linear sections." Proceedings of the American Mathematical Society 143, no. 5 (2015): 1831–36. http://dx.doi.org/10.1090/s0002-9939-2015-12130-2.

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50

Cox, David, J. William Hoffman, and Haohao Wang. "Syzygies and the Rees algebra." Journal of Pure and Applied Algebra 212, no. 7 (2008): 1787–96. http://dx.doi.org/10.1016/j.jpaa.2007.11.006.

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