Results 71 to 80 of about 1,986 (102)
Irreducible symplectic varieties via relative Prym varieties
Generalizing work of Markushevich--Tikhomirov and Arbarello--Saccà--Ferretti, we use relative Prym varieties to construct Lagrangian fibered symplectic varieties in infinitely many dimensions. We then give criteria for when the construction yields primitive symplectic varieties, respectively, irreducible symplectic varieties.
Brakkee, Emma +5 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 the canonical map of surfaces of general type
, 2000 Let X be a smooth complex surface of general type such that the image of the canonical map $\phi$ of X is a surface $\Sigma$ and that $\phi$ has degree $\delta\geq 2$.
Ciliberto, C., Pardini, R., Tovena, F.
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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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Geometry of Character Varieties of Surface Groups
, 2007 This article is based on a talk delivered at the RIMS--OCAMI Joint International Conference on Geometry Related to Integrable Systems in September, 2007.
Mulase, Motohico
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Fourier–Mukai transform for fine compactified Prym varieties
International Journal of MathematicsConsider a finite flat morphism [Formula: see text] between a reduced, projective, locally planar curve [Formula: see text] and a smooth projective curve [Formula: see text]. Associated to two generic polarizations [Formula: see text] and [Formula: see text] on [Formula: see text], one can construct the corresponding compactified Prym varieties ...
Emilio Franco +2 more
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Geodesic flow on SO(4) and the intersection of quadrics. [PDF]
Proc Natl Acad Sci U S A, 1984 Adler M, van Moerbeke P.
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SOME RESULTS ON THE MODULI OF RIEMANN SURFACES. [PDF]
Proc Natl Acad Sci U S A, 1961 Baily WL.
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Families of Prym varieties of abelian coverings and shimura varieties
Publications de l'Institut MathematiqueUnder the condition that the Prym map is injective in characteristic p, we prove that the special subvarieties in the moduli space of abelian varieties of dimension l and polarization type D, Al,D, arising from families of abelian covers of P1 are of a very restrictive nature.
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From Quantum Curves to Topological String Partition Functions II. [PDF]
Ann Henri PoincareComan I, Longhi P, Teschner J.
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