Results 1 to 10 of about 2,842 (71)
Algebraic Description of Jacobians Isogeneous to Certain Prym Varieties with Polarization (1,2) [PDF]
Experimental Mathematics, 2016 51 pages, 3 figures, 3 ...
Enolski, Viktor Z., Fedorov, Yuri
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Products of Jacobians as Prym-Tyurin varieties [PDF]
Geometriae Dedicata, 2008 Let $X_1, ..., X_m$ denote smooth projective curves of genus $g_i \geq 2$ over an algebraically closed field of characteristic 0 and let $n$ denote any integer at least equal to $1+\max_{i=1}^m g_i$. We show that the product $JX_1 \times ... \times JX_m$ of the corresponding Jacobian varieties admits the structure of a Prym-Tyurin variety of exponent ...
Carocca Becerra, Ángel Denys +3 more
openaire +11 more sources
Rational points on abelian varieties over function fields and Prym varieties [PDF]
Archiv Der Mathematik, 2020 In this paper, using a generalization of the notion of Prym variety for covers of projective varieties, we prove a structure theorem for the Mordell–Weil group of abelian varieties over function fields that are twists of abelian varieties by Galois ...
Abolfazl Mohajer
exaly +2 more sources
Prym varieties and the Schottky problem
Inventiones Mathematicae, 1977 Arnaud Beauville
exaly +2 more sources
Algebraic cycles on Prym varieties [PDF]
Mathematische Annalen, 2009 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 ...
Maxim Arap
semanticscholar +2 more sources
On (2,2)-decomposable genus 4 Jacobians [PDF]
, 2023 We consider the question of when a Jacobian of a curve of genus $2g$ admits a $(2,2)$-isogeny to two polarized dimension $g$ abelian varieties. We find that one of them must be a Jacobian itself and, if the associated curve is hyperelliptic, so is the ...
Nils Bruin, Avinash Kulkarni
semanticscholar +1 more source
Lagrangian fibrations by Prym varieties [PDF]
Revista Matemática Contemporânea, 2019 We survey Lagrangian fibrations of holomorphic symplectic varieties, both compact and non-compact, whose fibres are Jacobians and Prym varieties.
Justin Sawon
semanticscholar +1 more source
Decomposing Jacobians Via Galois covers [PDF]
Experimental Mathematics, 2020 Let be a (possibly ramified) cover, with X and Y of strictly positive genus. We develop tools to identify the Prym variety of , up to isogeny, as the Jacobian of a quotient curve C of the Galois closure of a composition of with a well-chosen map that ...
D. Lombardo +3 more
semanticscholar +1 more source
Communications in Advanced Mathematical Sciences, 2020 The aim of this paper is to demonstrate the rich interaction between the Kowalewski-Painlev\'{e} analysis, the properties of algebraic completely integrable (a.c.i.) systems, the geometry of its Laurent series solutions, and the theory of Abelian ...
Lesfari Ahmed
doaj +1 more source
Prym varieties of \'etale covers of hyperelliptic curves [PDF]
, 2016 It is well known that the Prym variety of an \'etale cyclic covering of a hyperelliptic curve is isogenous to the product of two Jacobians. Moreover, if the degree of the covering is odd or congruent to 2 mod 4, then the canonical isogeny is an ...
H. Lange, A. Ortega
semanticscholar +1 more source