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Relevant bibliographies by topics / Jacobi varieties

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Academic literature on the topic 'Jacobi varieties'

Author: Grafiati

Published: 4 June 2021

Last updated: 29 July 2024

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Journal articles on the topic "Jacobi varieties"

1

McIntosh, Ian. "Harmonic tori and generalised Jacobi varieties." Communications in Analysis and Geometry 9, no. 2 (2001): 423–49. http://dx.doi.org/10.4310/cag.2001.v9.n2.a7.

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Sam, Steven V., and Jerzy Weyman. "Jacobi–Trudi formulas and determinantal varieties." Algebraic Combinatorics 6, no. 5 (2023): 1163–75. http://dx.doi.org/10.5802/alco.299.

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Namba, Makoto. "GALOIS COVERINGS AND JACOBI VARIETIES OF COMPACT RIEMANN SURFACES." Journal of the Korean Mathematical Society 53, no. 2 (2016): 263–86. http://dx.doi.org/10.4134/jkms.2016.53.2.263.

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Nakayashiki, A., and F. A. Smirnov. "Cohomologies of Affine Hyperelliptic Jacobi Varieties and Integrable Systems." Communications in Mathematical Physics 217, no. 3 (2001): 623–52. http://dx.doi.org/10.1007/s002200100382.

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Jiang, Zhi. "A Noether-Lefschetz theorem for varieties of r-planes in complete intersections." Nagoya Mathematical Journal 206 (June 2012): 39–66. http://dx.doi.org/10.1017/s0027763000010527.

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Jiang, Zhi. "A Noether-Lefschetz theorem for varieties of r-planes in complete intersections." Nagoya Mathematical Journal 206 (June 2012): 39–66. http://dx.doi.org/10.1215/00277630-1548484.

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Yuen, David S. "Second order theta functions and vector bundles over Jacobi varieties." Transactions of the American Mathematical Society 320, no. 2 (1990): 457–92. http://dx.doi.org/10.1090/s0002-9947-1990-1012508-7.

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de Jeu, Rob, and James D. Lewis. "Beilinson's Hodge Conjecture for Smooth Varieties." Journal of K-Theory 11, no. 2 (2013): 243–82. http://dx.doi.org/10.1017/is013001030jkt212.

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AbstractLet U/ℂ be a smooth quasi-projective variety of dimension d, CHr (U,m) Bloch's higher Chow group, andclr,m: CHr (U,m) ⊗ ℚ → homMHS (ℚ(0), H2r−m (U, ℚ(r)))the cycle class map. Beilinson once conjectured clr,m to be surjective [Be]; however, Jannsen was the first to find a counterexample in the case m = 1 [Ja1]. In this paper we study the image of clr,m in more detail (as well as at the “generic point” of U) in terms of kernels of Abel-Jacobi mappings. When r = m, we deduce from the Bloch-Kato conjecture (now a theorem) various results, in particular that the cokernel of clm,m at the gen

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Green, Mark, Phillip Griffiths, and Matt Kerr. "Néron models and limits of Abel–Jacobi mappings." Compositio Mathematica 146, no. 2 (2010): 288–366. http://dx.doi.org/10.1112/s0010437x09004400.

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AbstractWe show that the limit of a one-parameter admissible normal function with no singularities lies in a non-classical sub-object of the limiting intermediate Jacobian. Using this, we construct a Hausdorff slit analytic space, with complex Lie group fibres, which ‘graphs’ such normal functions. For singular normal functions, an extension of the sub-object by a finite group leads to the Néron models. When the normal function comes from geometry, that is, a family of algebraic cycles on a semistably degenerating family of varieties, its limit may be interpreted via the Abel–Jacobi map on mot

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Buchstaber, V. M., V. Z. Enolskii, and D. V. Leykin. "Uniformization of jacobi varieties of trigonal curves and nonlinear differential equations." Functional Analysis and Its Applications 34, no. 3 (2000): 159–71. http://dx.doi.org/10.1007/bf02482405.

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Dissertations / Theses on the topic "Jacobi varieties"

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Tavoularis, Stylianos. "Hegel, Plotinus and Jacobi: idealism and two varieties of mysticism." Thesis, University of Sheffield, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.485070.

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In this thesis I investigate Hegel's idealism and Plotinus' and Jacobi' varieties of mysticism. My intention was to examine Hegel's reception of Plotinus and discover whether it is textually accurate in relation to the texts from Plotinus' Enneads. I discovered that Hegel's interpretation is not consistent with the Plotinian texts and I concluded that Hegel misinterpreted Plotinus despite his commitment in the Introduction to the Lectures on the History ofPhilosophy not to attribute to earlier philosophers what's not historically reported about their philosophies. In part this misinterpretatio

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Richez, Thomas. "Anneaux tautologiques sur les variétés Jacobiennes de courbes avec automorphismes et les variétés de Prym généralisées." Thesis, Strasbourg, 2017. http://www.theses.fr/2017STRAD011/document.

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On étudie dans cette thèse les cycles algébriques sur les variétés Jacobiennes de courbes complexes projectives lisses qui admettent des automorphismes non triviaux. Il s'agit plus précisément d'étudier de nouveaux anneaux tautologiques associés à des groupes d’automorphismes de la courbe. On montre que ces Q-algèbres naturelles de cycles algébriques sur les Jacobiennes se restreignent en des familles de cycles sur certaines sous-variétés spéciales de la Jacobienne et que celles-ci méritent encore le nom d'anneaux tautologiques sur ces sous-variétés. On étudie en détail le cas des courbes hype

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Botero, Ana María. "b-divisors on toric and toroidal embeddings." Doctoral thesis, Humboldt-Universität zu Berlin, 2017. http://dx.doi.org/10.18452/18140.

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In dieser Dissertation entwickeln wir eine Schnittheorie von torischen bzw. toroidalen b-Divisoren auf torischen bzw. toroidalen Einbettungen. Motiviert wird dies durch das Ziel, eine arithmetische Schnittheorie auf gemischten Shimura- Varietäten von nicht-kompaktem Typ zu begründen. Die bisher zur Verfügung stehenden Werkzeuge definieren keine numerischen Invarianten, die birational invariant sind. Zuerst definieren wir torische b-Divisoren auf torischen Varietäten und einen Integrabilitätsbegriff für solche Divisoren. Wir zeigen, dass torische b-Divisoren unter geeigneten Annahmen an

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Takashima, Katsuyuki. "Computational Aspects of Jacobian Varieties and Their Cryptographic Applications." 京都大学 (Kyoto University), 2009. http://hdl.handle.net/2433/123843.

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NUNES, DA COSTA MAVIGNE SOUSA JOANA. "Actions de groupes de lie sur des varietes et des fibres de jacobi et reduction." Paris 6, 1991. http://www.theses.fr/1991PA066262.

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Etant donne une sous-variete n d'une variete de jacobi m, on definit un feuilletage de n, a l'aide d'un sous-fibre f de t#nm tel que l'espace des feuilles soit une variete differentiable munie d'une structure de jacobi, dite reduite. On dit alors que le triplet (m,n,f) est jacobi-reductible. On demontre un theoreme de reduction qui donne les conditions necessaires et suffisantes pour qu'un triplet (m,n,f) soit jacobi-reductible. La variete des orbites d'une action quotientante de jacobi d'un groupe de lie sur une variete de jacobi est une variete de jacobi reduite. On presente des cas particul

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YACOUB, CHOKRI. "Analyse sur les varietes harmoniques an et d'une classe d'operateurs differentiels generalisant l'operateur de jacobi." Paris 11, 1994. http://www.theses.fr/1994PA112363.

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Cette these est constituee de trois chapitres qui peuvent se lire independamment. Chapitre 1. Si on considere n un groupe de type heisenberg (notion introduite par a. Kaplan) et a identifie a r*#+ qui agit par dilatation, alors le groupe de lie an muni d'une metrique riemannienne invariante a gauche devient une variete harmonique generalisant les espaces riemanniens symetriques de type non compact et de rang un. E. Damek et f. Ricci ont observe qu'en plus de ces derniers, il y a une infinite de varietes harmoniques de type an. (infirmant ainsi une conjecture de a. Lichnerowicz). L'analyse radi

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Lahoz, Vilalta Marti. "Theta-duality in abelian varieties and the bicanonical map of irregular varieties." Doctoral thesis, Universitat Politècnica de Catalunya, 2010. http://hdl.handle.net/10803/77898.

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The first goal of this Thesis is to contribute to the study of principally polarized abelian varieties (ppav), especially to the Schottky and the Torelli problems. Ppav admit a duality theory analogous to that of projective spaces, where the role played by hyperplanes in projective spaces is played by divisors representing the principal polarization. Thus, given a subvariety Y of a ppav, we can define its thetadual T(Y) as the set of divisors representing the principal polarization that contain this subvariety. This set admits a natural schematic structure (as defined by Pareschi and Popa

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Rogale, Plazonic Kristina. "Limits of invariants of algebraic cycles in a geometric degeneration /." 2003. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:3097150.

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Frizzell, Carrie. "Prym Varieties of Tropical Plane Quintics." Thesis, 2018. http://hdl.handle.net/2097/38898.

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Master of Science<br>Department of Mathematics<br>Ilia Zharkov<br>When considering an unramified double cover π: C’→ C of nonsingular algebraic curves, the Prym variety (P; θ) of the cover arises from the sheet exchange involution of C’ via extension to the Jacobian J(C’). The Prym is defined to be the anti-invariant (odd) part of this induced map on J(C’), and it carries twice a principal polarization of J(C’). The pair (P; θ), where θ is a representative of a theta divisor of J(C’) on P, makes the Prym a candidate for the Jacobian of another curve. In 1974, David Mumford proved that for

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Books on the topic "Jacobi varieties"

1

Fujimori, Masami. Integral and rational points on algebraic curves of certain types and their Jacobian varieties over number fields. Tohoku University, 1997.

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Fujimori, Masami. Integral and rational points on algebraic curves of certain types and their Jacobian varieties over number fields. Tohoku University, 1997.

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3

Lectures on Riemann Surfaces: Jacobi Varieties. Princeton University Press, 2016.

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Gunning, Robert C. Lectures on Riemann Surfaces: Jacobi Varieties. Princeton University Press, 2015.

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Gunning, Robert C. Lectures on Riemann Surfaces: Jacobi Varieties. Princeton University Press, 2015.

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Gunning, Robert C. Lectures on Riemann Surfaces: Jacobi Varieties. Princeton University Press, 2015.

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A scrapbook of complex curve theory. 2nd ed. American Mathematical Society, 2003.

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Kuhn, Robert Michael. On the canonical Galois closure of the universal elliptic curve over X1(n). 1985.

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9

(Contributor), V. S. Kulikov, P. F. Kurchanov (Contributor), V. V. Shokurov (Contributor), A. N. Parshin (Editor), I. R. Shafarevich (Editor), and I. Rivin (Translator), eds. Algebraic Geometry III: Complex Algebraic Varieties. Algebraic Curves and Their Jacobians (Encyclopaedia of Mathematical Sciences). Springer, 1997.

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Koenigs, Thomas. Founded in Fiction. Princeton University Press, 2021. http://dx.doi.org/10.23943/princeton/9780691188942.001.0001.

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What is the use of fiction? This question preoccupied writers in the early United States, where many cultural authorities insisted that fiction reading would mislead readers about reality. This book argues that this suspicion made early American writers especially attuned to one of fiction's defining but often overlooked features—its fictionality. The book shows how these writers explored the unique types of speculative knowledge that fiction could create as they sought to harness different varieties of fiction for a range of social and political projects. Spanning the years 1789 to 1861, the

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Book chapters on the topic "Jacobi varieties"

1

Alber, Solomon J. "Hamiltonian Systems on the Jacobi Varieties." In Mathematical Sciences Research Institute Publications. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4613-9725-0_3.

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Reider, Igor. "Toward abel-jacobi theory for higher dimensional varieties." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/bfb0083345.

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Alber, S. J. "Complex Deformation of Integrable Hamiltonians over Generalized Jacobi Varieties." In Springer Series in Nonlinear Dynamics. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-77769-1_2.

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Smirnov, Fedor A., and Vadim Zeitlin. "On The Quantization of Affine Jacobi Varieties of Spectral Curves." In Statistical Field Theories. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-010-0514-2_8.

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Lütkebohmert, Werner. "Jacobian Varieties." In Rigid Geometry of Curves and Their Jacobians. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27371-6_5.

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Milne, J. S. "Jacobian Varieties." In Arithmetic Geometry. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8655-1_7.

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Birkenhake, Christina, and Herbert Lange. "Jacobian Varieties." In Complex Abelian Varieties. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06307-1_13.

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Lange, Herbert, and Christina Birkenhake. "Jacobian Varieties." In Complex Abelian Varieties. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-662-02788-2_13.

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Lange, Herbert. "Jacobian Varieties." In Grundlehren Text Editions. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25570-0_4.

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Birkenhake, Christina, and Herbert Lange. "The Hodge Conjecture for General Abelian and Jacobian Varieties." In Complex Abelian Varieties. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06307-1_19.

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Conference papers on the topic "Jacobi varieties"

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Abdel-Malek, K., Walter Seaman, and Harn-Jou Yeh. "An Exact Method for NC Verification of up to 5-Axis Machining." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/dac-8560.

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Abstract The motion of a cutter tool is modeled as a surface undergoing a sweep operation along another geometric entity. A numerically controlled machining verification method is developed based on a formulation for delineating the volume generated by the motion of a cutting tool on the workpiece (stock). Varieties and subvarieties that are subsets of some Eucledian space defined by the zeros of a finite number of analytic functions are computed and are characterized as closed form equations of surface patches of this volume. A topological space describing the swept volume will be built as a

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Cohen, Ran. "Group Law Algorithms for Jacobian Varieties of Curves over Finite Fields." In Proceedings of the First SAGA Conference. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812793430_0011.

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Müller, Andreas, and Zijia Li. "Identification of Singularities and Real and Complex Solution Varieties of the Loop Constraints of Linkages Using the Kinematic Tangent Cone." In ASME 2023 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/detc2023-114638.

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Abstract The configuration space (c-space) of a mechanism is the real solution variety of a set of loop closure constraints. Singularities of this variety (referred to as c-space singularities) are singular configurations of the mechanism. In addition, a mechanism may exhibit other kinematic singularities that are not visible from the differential geometry of the c-space (referred to as hidden singularities). The latter is related to a drop in the rank of the constraint Jacobian while the c-space is locally a smooth manifold. Another kinematic feature that is only due to the corank of the cons

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Li, Ju, and J. Michael McCarthy. "Singularity Variety of a 3SPS-1S Spherical Parallel Manipulator." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-60416.

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In this paper, we study the manifold of configurations of a 3SPS-1S spherical parallel manipulator. This manifold is obtained as the intersection of quadrics in the hypersphere defined by quaternion coordinates and is called its constraint manifold. We then formulate Jacobian for this manipulator and consider its singular. This is a quartic algebraic manifold called the singularity variety of the parallel manipulator. A survey of the architectures that can be defined for the 3SPS-1S spherical parallel manipulators yield a number of special cases, in particular the architectures with coincident

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