Results 31 to 40 of about 820 (60)
Prym varieties of genus four curves
, 2019 Double covers of a generic genus four curve C are in bijection with Cayley cubics containing the canonical model of C. The Prym variety associated to a double cover is a quadratic twist of the Jacobian of a genus three curve X.
Bruin, Nils, Sertöz, Emre Can
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Tropicalization of theta characteristics, double covers, and Prym varieties
, 2018 We study the behavior of theta characteristics on an algebraic curve under the specialization map to a tropical curve. We show that each effective theta characteristic on the tropical curve is the specialization of $2^{g-1}$ even theta characteristics ...
Jensen, David, Len, Yoav
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, 2007 We prove that Prym varieties are characterized geometrically by the existence of a symmetric pair of quadrisecant planes of the associated Kummer variety. We also show that Prym varieties are characterized by certain (new) theta-functional equations. For
Grushevsky, Samuel, Krichever, Igor
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Algebraic cycles on Prym varieties
, 2011 This article proposes a generalization of tautological rings introduced by Beauville and Moonen for Jacobians. The main result is that, under certain hypotheses, the special subvarieties of Prym varieties are algebraically equivalent and their classes ...
Arap, Maxim
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Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties [PDF]
, 2015 The main purpose of this paper is to present a conceptual approach to understanding the extension of the Prym map from the space of admissible double covers of stable curves to different toroidal compactifications of the moduli space of principally ...
Casalaina-Martin, Sebastian +3 more
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Jacobian varieties with group algebra decomposition not affordable by Prym varieties
Journal of Pure and Applied AlgebraThe action of a finite group $G$ on a compact Riemann surface $X$ naturally induces another action of $G$ on its Jacobian variety $\operatorname{J}(X)$. In many cases, each component of the group algebra decomposition of $\operatorname{J}(X)$ is isogenous to a Prym varieties of an intermediate covering of the Galois covering $π_G\colon X \to X/G$; in ...
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Abhandlungen aus dem Mathematischen Seminar der Universität HamburgAbstract We give a description of the intermediate Jacobian fibration attached to a general complex cubic fourfold X containing a plane as a Lagrangian subfibration of a moduli space of torsion sheaves on the K3 surface associated to X up to a cover.
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The Moduli Space of Abelian Varieties and the Singularities of the Theta Divisor
, 1999 In this paper we give a lower bound for the codimension of the Andreotti-Mayer loci in the moduli space of principally polarized complex abelian varieties.
Ciliberto, Ciro, van der Geer, Gerard
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Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization (1,2)
, 2014 For a class of non-hyperelliptic genus 3 curves C which are 2-fold coverings of elliptic curves E, we give an explicit algebraic description of all birationally non-equivalent genus 2 curves whose Jacobians are degree 2 isogeneous to the Prym varieties associated to such coverings.
Fedorov, Yuri, Enolski, Viktor Z.
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Tautological rings on Jacobian varieties of curves with automorphisms and generalized Prym varieties
, 2017 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.
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