Results 51 to 60 of about 133 (127)
Prym varieties and integrable systems [PDF]
Communications in Analysis and Geometry, 1997 In this article 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. H. Morikawa's question is: What are the finite-dimensional orbits of
Li, Yingchen, Mulase, Mothico
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Prym varieties and the Verlinde formula
Mathematische Annalen, 1992 In this paper, the Verlinde formula for vector bundles of rank 2 and even degree is considered. It is an explicit formula in terms of the genus and the degree to give the dimension of the space of sections of the bundle \(L^{\otimes k}\) on \(\text{SM}_ C(2)\), where \(C\) is a curve (or Riemann surface) of genus \(g\), \(\text{SM}_ C(2)\) the moduli ...
B. van Geemen, E. Previato
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Prym-Tyurin varieties via Hecke algebras [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2009 Let $G$ denote a finite group and $π: Z \to Y$ a Galois covering of smooth projective curves with Galois group $G$. For every subgroup $H$ of $G$ there is a canonical action of the corresponding Hecke algebra $\mathbb{Q}[H \backslash G/H]$ on the Jacobian of the curve $X = Z/H$.
Carocca, Angel +3 more
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Prym-Tjurin varieties and the Hitchin map
Mathematische Annalen, 1995 Let \({\mathcal M}\) be the moduli space of stable principal \(G\)-bundle over a compact Riemann surface \(C\), with \(G\) a reductive algebraic complex group and denote by \(K\) the canonical bundle over \(C\). In Duke Math. J. 54, 90- 114 (1987; Zbl 0627.14024), \textit{N.
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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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Algebraic cycles on Prym varieties [PDF]
Mathematische Annalen, 2011 entirely rewritten, final ...
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Lagrangian Fibrations by Prym Varieties
Revista Matemática Contemporânea, 2020 We describe and study Lagrangian fibrations including non-compact ones from Hitchin systems and compact ones from the moduli spaces of semi-stable sheaves of some fixed invariant on K3 surfaces. We prove properties of the relative Prym variety P constructed from a double cover of a degree one del Pezzo surface T by a K3 surface S using the bi ...
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, 2021 In this text we prove that if an abelian variety $A$ admits an embedding into the Jacobian of a smooth projective curve $C$, and if we consider $Θ_A$ to be the divisor $Θ_C\cap A$, where $Θ_C$ denotes the theta divisor of $J(C)$, then the embedding of $Θ_A$ into $A$ induces an injective push-forward homomorphism (under certain conditions) at the level ...
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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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