Results 1 to 10 of about 133 (127)
Dimensions of Prym varieties [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 Given a tame Galois branched cover of curves π:X→Y with any finite Galois group G whose representations are rational, we compute the dimension of the (generalized) Prym variety Prymρ(X) corresponding to any irreducible representation ρ of G. This formula
Amy E. Ksir
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MAXIMAL PRYM VARIETY AND MAXIMAL MORPHISM [PDF]
Journal of Algebraic Systems, 2018 We investigated maximal Prym varieties on finite fields by attaining their upper bounds on the number of rational points. This concept gave us a motivation for defining a generalized definition of maximal curves i.e. maximal morphisms. By MAGMA, we give
M. Farhadi Sangdehi
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Hyperelliptic Prym Varieties and Integrable Systems [PDF]
Communications in Mathematical Physics, 2001 We introduce two algebraic completely integrable analogues of the Mumford systems which we call hyperelliptic Prym systems, because every hyperelliptic Prym variety appears as a fiber of their momentum map. As an application we show that the generic fiber of the momentum map of the periodic Volterra lattice $$\dot a_i=a_i(a_{i-1}-a_{i+1}), \qquad i=1,..
Rui Loja Fernandes, Pol Vanhaecke
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Prym varieties and the Schottky problem [PDF]
Inventiones Mathematicae, 1977 be the moduli space of principally polarized abelian varieties of dimension g, Jg c ~q/g the locus of Jacobians. The problem is to find explicit equations for Jg (or rather its closure Jg) in s/g. In their beautiful paper [A-M], Andreotti and Mayer prove that Jg is an irreducible component of the locus N~_ 4 of principally polarized abelian varieties ...
Arnaud Beauville
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Prym varieties of cyclic coverings [PDF]
Geometriae Dedicata, 2010 The Prym map of type (g,n,r) associates to every cyclic covering of degree n of a curve of genus g, ramified at a reduced divisor of degree r, the corresponding Prym variety. We show that the corresponding map of moduli spaces is generically finite in most cases. From this we deduce the dimension of the image of the Prym map.
Herbert Lange +2 more
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Kirchhoff’s theorem for Prym varieties [PDF]
Forum of Mathematics, Sigma, 2022 Abstract We prove an analogue of Kirchhoff’s matrix tree theorem for computing the volume of the tropical Prym variety for double covers of metric graphs. We interpret the formula in terms of a semi-canonical decomposition of the tropical Prym variety, via a careful study of the tropical Abel–Prym map. In particular, we show that the map is harmonic,
Yoav Len, Dmitry Zakharov
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On the Prym variety of genus 3 covers of genus 1 curves [PDF]
Épijournal de Géométrie Algébrique, 2018 Given a generic degree-2 cover of a genus 1 curve D by a non hyperelliptic genus 3 curve C over a field k of characteristic different from 2, we produce an explicit genus 2 curve X such that Jac(C) is isogenous to the product of Jac(D) and Jac(X).
Christophe Ritzenthaler +1 more
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, 2022 The article under review reflects the content of the course ``Prym Varieties'', delivered by the authors at the Trieste Algebraic Summer School in 2021. After the first introductory section, the second one recalls some basic notions and properties of the abelian varieties. More precisely, it discusses briefly the Jacobian \(JC\) of a smooth curve \(C\)
Borówka, Paweł, Ortega, Angela
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Prym Varieties of Triple Coverings [PDF]
International Mathematics Research Notices, 2011 21 pages; minor changes in the last section; to appear in International Mathematics Research ...
Lange, Herbert, Ortega, Angela
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Skeletons of Prym varieties and Brill–Noether theory [PDF]
Algebra & Number Theory, 2021 32 pages, 7 figures.
Len, Yoav, Ulirsch, Martin
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