Results 61 to 70 of about 1,986 (102)
Cohomological support loci for Abel-Prym curves
Le Matematiche, 2008 For an Abel-Prym curve contained in a Prym variety, we determine the cohomological support loci of its twisted ideal sheaves and the dimension of its theta-dual.
Sebastian Casalaina Martin +2 more
doaj
Prym varieties and fourfold covers
, 2003 We describe the isotypical decomposition of the Jacobian variety JW of the Galois extension W-->T of any fourfold cover of smooth connected irreducible projective complex curves X-->T, in terms of Prym's of intermediate covers. We also compute the degree of the isogenies involved and as a result we obtain new proofs of the bigonal and trigonal ...
Recillas, Sevin, Rodriguez, Rubi
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The Schottky problem in genus five [PDF]
, 2012 In this paper, we present a solution to the Schottky problem in the spirit of Schottky and Jung for genus five curves. To do so, we exploit natural incidence structures on the fibers of several maps to reduce all questions to statements about the Prym ...
Siegel, Charles
core
Prym varieties and Teichmüller curves [PDF]
Duke Mathematical Journal, 2006 A Teichmüller curve \(V \subset M_{g}\) is a totally geodesic algebraic curve in the moduli space of Riemann surfaces of genus \(g.\) We say \(V\) is primitive if it is generated by an abelian differential of minimal genus. Every Teichmüller curves has a unique primitive representative in its commensurability class.
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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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Pseudoreflections on Prym Varieties
We show that for every g greater or equal than 5, the locus of Prym varieties in the moduli space of principally polarized abelian varieties of dimension g-1 that possess a pseudoreflection of geometric origin is the union of three different non-empty explicit irreducible families.
Auffarth, Robert +2 more
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Prym Varieties and Integrable Systems
, 1992 A new relation between Prym varieties of arbitrary morphisms of algebraic curves and integrable systems is discovered. The action of maximal commutative subalgebras of the formal loop algebra of GL(n) defined on certain infinite-dimensional Grassmannians is studied. It is proved that every finite-dimensional orbit of the action of traceless elements of
Li, Yingchen, Mulase, Motohico
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Hyper-Kähler Manifolds of Generalized Kummer Type and the Kuga-Satake Correspondence. [PDF]
Milan J Math, 2022 Varesco M, Voisin C.
europepmc +1 more source
Polarization types of isogenous Prym-Tyurin varieties
, 2007 Let p:C-->Y be a covering of smooth, projective curves which is a composition of \pi:C-->C' of degree 2 and g:C'-->Y of degree n. Let f:X-->Y be the covering of degree 2^n, where the curve X parametrizes the liftings in C^{(n)} of the fibers of g:C'-->Y.
Kanev, Vassil, Lange, Herbert
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