Academic literature on the topic 'Equations of abelian coverings'

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Journal articles on the topic "Equations of abelian coverings"

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Elek, Gàbor. "Abelian Coverings." Journal of Functional Analysis 141, no. 2 (1996): 365–73. http://dx.doi.org/10.1006/jfan.1996.0133.

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Dimca, Alexandru. "On analytic abelian coverings." Mathematische Annalen 279, no. 3 (1988): 501–15. http://dx.doi.org/10.1007/bf01456284.

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Vinberg, Ernest. "On Abelian coverings of surfaces." Michigan Mathematical Journal 55, no. 3 (2007): 631–50. http://dx.doi.org/10.1307/mmj/1197056460.

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TAYAMA, IKUO. "FIRST BETTI NUMBERS OF ABELIAN COVERINGS OF THE COMPLEX PROJECTIVE PLANE BRANCHED OVER LINE CONFIGURATIONS." Journal of Knot Theory and Its Ramifications 09, no. 02 (2000): 271–84. http://dx.doi.org/10.1142/s0218216500000128.

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We prove the following results concerning the first Betti numbers of abelian coverings of CP2 branched over line configurations: (1) An estimate of the first Betti numbers. (2) A characterization of central and general position line configurations in terms of the first Betti numbers of abelian coverings. (3) The first Betti numbers of the abelian coverings of the real line configurations up to 7 components.
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Debarre, Olivier. "On coverings of simple abelian varieties." Bulletin de la Société mathématique de France 134, no. 2 (2006): 253–60. http://dx.doi.org/10.24033/bsmf.2508.

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Kwon, Young Soo, and Jaeun Lee. "Enumerating Abelian Typical Cube-Free Fold Coverings of a Circulant Graph." Algebra Colloquium 27, no. 01 (2020): 137–48. http://dx.doi.org/10.1142/s1005386720000127.

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Enumerating the isomorphism or equivalence classes of several types of graph coverings is one of the central research topics in enumerative topological graph theory. A covering projection p from a Cayley graph Cay(Γ, X) onto another Cayley graph Cay(Q, Y) is called typical if the function p : Γ → Q on the vertex sets is a group epimorphism. A typical covering is called abelian (or circulant, respectively) if its covering graph is a Cayley graph on an abelian (or a cyclic, respectively) group. Recently, the equivalence classes of connected abelian typical prime-fold coverings of a circulant gra
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Raimbault, Jean. "Exponential growth of torsion in abelian coverings." Algebraic & Geometric Topology 12, no. 3 (2012): 1331–72. http://dx.doi.org/10.2140/agt.2012.12.1331.

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Lê, Thang T. Q. "Growth of regulators in finite abelian coverings." Algebraic & Geometric Topology 13, no. 4 (2013): 2383–404. http://dx.doi.org/10.2140/agt.2013.13.2383.

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Jones, Gareth A. "Elementary abelian regular coverings of Platonic maps." Journal of Algebraic Combinatorics 41, no. 2 (2014): 461–91. http://dx.doi.org/10.1007/s10801-014-0542-5.

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Lee, Jaeun, and Jong-Wook Kim. "On Abelian Branched Coverings of the Sphere." Graphs and Combinatorics 18, no. 2 (2002): 329–42. http://dx.doi.org/10.1007/s003730200025.

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Dissertations / Theses on the topic "Equations of abelian coverings"

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Maureemootoo, Dawn Irene. "Regular abelian coverings of cyclic hypermaps." Thesis, University of Southampton, 2000. https://eprints.soton.ac.uk/50625/.

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The foundations of this work lie in the use of representation theory to find lattices of regular hypermaps H arising as elementary abelian coverings of some regular hypermap Ji such that Aut(Tt) = CR. It is assumed that Aut(7f) = C™ X CR a spUt extension of an elementary abelian group with cyclic complement. Examples of this situation are found in [2] where regular orientable imbeddings of the complete graph Kq, q = pe with p a prime integer, were classified and enumerated. Initial investigations are of maps obtained from regular orientable imbeddings of certain highly symmetrical subgraphs Kq
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Ducet, Virgile. "Construction of algebraic curves with many rational points over finite fields." Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM4043/document.

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L'étude du nombre de points rationnels d'une courbe définie sur un corps fini se divise naturellement en deux cas : lorsque le genre est petit (typiquement g<=50), et lorsqu'il tend vers l'infini. Nous consacrons une partie de cette thèse à chacun de ces cas. Dans la première partie de notre étude nous expliquons comment calculer l'équation de n'importe quel revêtement abélien d'une courbe définie sur un corps fini. Nous utilisons pour cela la théorie explicite du corps de classe fournie par les extensions de Kummer et d'Artin-Schreier-Witt. Nous détaillons également un algorithme pour la r
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Kazaz, Mustafa. "Finite groups and coverings of surfaces." Thesis, University of Southampton, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.264739.

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Kuivinen, Fredrik. "Tight Approximability Results for the Maximum Solution Equation Problem over Abelian Groups." Thesis, Linköping University, Department of Computer and Information Science, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-3240.

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<p>In the maximum solution equation problem a collection of equations are given over some algebraic structure. The objective is to find an assignment to the variables in the equations such that all equations are satisfied and the sum of the variables is maximised. We give tight approximability results for the maximum solution equation problem when the equations are given over finite abelian groups. We also prove that the weighted and unweighted versions of this problem have asymptotically equal approximability thresholds.</p><p>Furthermore, we show that the problem is equally hard to solve as
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Castilho, Tiago Nunes 1983. "Variedades de Prym e semigrupos de Weierstrass." [s.n.], 2013. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306009.

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Orientador: Marcos Benevenuto Jardim<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-24T02:07:51Z (GMT). No. of bitstreams: 1 Castilho_TiagoNunes_D.pdf: 20018125 bytes, checksum: 181cd44948098969af37059c2215917a (MD5) Previous issue date: 2013<br>Resumo: Esta tese trata de variedades de Prym e de semigrupos de Weierstrass, ambos no contexto de recobrimentos duplos de curvas ramificados. A partir da descrição da variedade de Prym em termos de um conjunto de fibrações lineares do recobr
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Johnson, Tomas. "Computer-aided Computation of Abelian integrals and Robust Normal Forms." Doctoral thesis, Uppsala universitet, Matematiska institutionen, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-107519.

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This PhD thesis consists of a summary and seven papers, where various applications of auto-validated computations are studied. In the first paper we describe a rigorous method to determine unknown parameters in a system of ordinary differential equations from measured data with known bounds on the noise of the measurements. Papers II, III, IV, and V are concerned with Abelian integrals. In Paper II, we construct an auto-validated algorithm to compute Abelian integrals. In Paper III we investigate, via an example, how one can use this algorithm to determine the possible configurations of limit
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Sasaki, Nélio Martins da Silva Azevedo. "Tópicos especiais em dinâmica dos fluidos." Universidade Federal de Juiz de Fora (UFJF), 2015. https://repositorio.ufjf.br/jspui/handle/ufjf/5357.

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Books on the topic "Equations of abelian coverings"

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Kha, Minh, and Peter Kuchment. Liouville-Riemann-Roch Theorems on Abelian Coverings. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-67428-1.

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Ilya, Kazachkov, ed. On systems of equations over free partially commutative groups. American Mathematical Society, 2011.

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Topics in factorization of Abelian groups. Birkhäuser, 2004.

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Székelyhidi, László. Convolution type functional equations on topological abelian groups. World Scientific, 1991.

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Hironaka, Eriko. Abelian coverings of the complex projective plane branched along configurations of real lines. American Mathematical Society, 1993.

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Functional equations and characterization problems on locally compact Abelian groups. European Mathematical Society, 2008.

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Young, George Paxton. Forms, necessary and sufficient, of the roots of pure uni-serial abelian equations. s.n., 1993.

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Alekseev, V. B. Abel's theorem in problems and solutions based on the lectures of professor V.I. Arnold. Kluwer Academic, 2003.

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Alekseev, V. B. Abel's theorem in problems and solutions based on the lectures of professor V.I. Arnold. Kluwer Academic Publishers, 2004.

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Fedorov, Y. N. A memoir on integrable systems. Springer, 2003.

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Book chapters on the topic "Equations of abelian coverings"

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Lange, Herbert, and Christina Birkenhake. "Equations for Abelian Varieties." In Complex Abelian Varieties. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-662-02788-2_9.

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Birkenhake, Christina, and Herbert Lange. "Equations for Abelian Varieties." In Complex Abelian Varieties. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06307-1_9.

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Yang, Yisong. "Generalized Abelian Higgs Equations." In Springer Monographs in Mathematics. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-6548-9_4.

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Kuga, Michio. "The Eighth Week: Coverings." In Galois’ Dream: Group Theory and Differential Equations. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0329-2_9.

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Kha, Minh, and Peter Kuchment. "Specific Examples of Liouville-Riemann-Roch Theorems." In Liouville-Riemann-Roch Theorems on Abelian Coverings. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-67428-1_4.

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Kha, Minh, and Peter Kuchment. "The Main Results." In Liouville-Riemann-Roch Theorems on Abelian Coverings. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-67428-1_2.

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Kha, Minh, and Peter Kuchment. "Proofs of the Main Results." In Liouville-Riemann-Roch Theorems on Abelian Coverings. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-67428-1_3.

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Kha, Minh, and Peter Kuchment. "Auxiliary Statements and Proofs of Technical Lemmas." In Liouville-Riemann-Roch Theorems on Abelian Coverings. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-67428-1_5.

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Kha, Minh, and Peter Kuchment. "Preliminaries." In Liouville-Riemann-Roch Theorems on Abelian Coverings. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-67428-1_1.

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Parthasarathy, Harish. "Master Equations, Non-Abelian Gauge Fields." In Quantum Mechanics. CRC Press, 2021. http://dx.doi.org/10.1201/9781003221432-7.

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Conference papers on the topic "Equations of abelian coverings"

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Mucuk, Osman, and Serap Demir. "Coverings of topological semi-abelian algebras." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4959752.

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USTINOV, NIKOLAI V., and MAREK CZACHOR. "DARBOUX-INTEGRABLE EQUATIONS WITH NON-ABELIAN NONLINEARITIES." In Nonlinearity, Nonlocality, Computation and Axiomatics. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778024_0016.

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MOROZOV, OLEG I. "MAURER–CARTAN FORMS FOR SYMMETRY PSEUDO-GROUPS AND COVERINGS OF DIFFERENTIAL EQUATIONS." In Proceedings of the International Conference on SPT 2007. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812776174_0018.

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DELGADO, MANUEL, ARIANE MASUDA, and BENJAMIN STEINBERG. "SOLVING SYSTEMS OF EQUATIONS MODULO PSEUDOVARIETIES OF ABELIAN GROUPS AND HYPERDECIDABILITY." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812708700_0005.

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Rauscher, Elizabeth A., Richard L. Amoroso, Richard L. Amoroso, Peter Rowlands, and Stanley Jeffers. "Amending Maxwell’s Equations for Real and Complex Gauge Groups in Non-Abelian Form." In SEARCH FOR FUNDAMENTAL THEORY: The VII International Symposium Honoring French Mathematical Physicist Jean-Pierre Vigier. AIP, 2010. http://dx.doi.org/10.1063/1.3536431.

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Atmaja, A. N. "On derivation of BPS equations of vortices in K-generalized Abelian-Higgs model." In INTERNATIONAL SYMPOSIUM ON CURRENT PROGRESS IN MATHEMATICS AND SCIENCES 2016 (ISCPMS 2016): Proceedings of the 2nd International Symposium on Current Progress in Mathematics and Sciences 2016. Author(s), 2017. http://dx.doi.org/10.1063/1.4991116.

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Daniyarova, Evelina, and Vladimir Remeslennikov. "Calculation of the coordinate group by a system of equations over an abelian group." In 2018 Dynamics of Systems, Mechanisms and Machines (Dynamics). IEEE, 2018. http://dx.doi.org/10.1109/dynamics.2018.8601438.

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Triyanta, Supardi, F. P. Zen, et al. "Field Equations for Abelian Vector Fields in the Bianchi Type I Metric in the Framework of Teleparallel Gravity." In THE 4TH ASIAN PHYSICS SYMPOSIUM—AN INTERNATIONAL SYMPOSIUM. AIP, 2010. http://dx.doi.org/10.1063/1.3537900.

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Oosthuizen, Patrick H. "Natural Convection in a Square Enclosure With a Partially Heated Wall Section Covered by a Blind-Like Attachment in Which There Is a Linearly Varying Heat Generation Rate." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32968.

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Natural convective heat transfer across a square enclosure with one vertical wall partially heated to a uniform high temperature and with the opposite vertical wall cooled to a lower uniform temperature has been numerically investigated. The remaining wall sections are adiabatic. The heated wall section is covered at the top and in the front by thin straight walls that offer no resistance to heat transfer. There is heat generation in vertical portion of this covering wall that is parallel to the heated wall section. The present work was undertaken as part of a wider study of the effect of wind
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