The structure of the Prym map
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Publication:793111
DOI10.1007/BF02392458zbMath0538.14019OpenAlexW2000205172MaRDI QIDQ793111
Roy Campbell Smith, Ron Y. Donagi
Publication date: 1981
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02392458
Jacobian varietydegree of the Prym mapgeneral Torelli theoremmoduli space of unramified double covers of smooth curves
Picard schemes, higher Jacobians (14K30) Jacobians, Prym varieties (14H40) Families, moduli of curves (analytic) (14H15) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)
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Classical Moduli Spaces and Rationality, On the Prym map of cyclic coverings, Degenerations of Prym varieties and intersections of three quadrics, Prym varieties of triple cyclic covers, Uniformization of Jacobian varieties and deformations of curves, Singularities of the Prym theta divisor, Kirchhoff’s theorem for Prym varieties, Polarisations of type \((1,2,\dots ,2)\) on abelian varieties, Big Schottky, Some projective geometry associated with unramified double covers of curves of genus 4, Affine stratification of $\mathcal {A}_4$, The universal theta divisor over the moduli space of curves, Stable rationality in smooth families of threefolds, Geometry of Prym semicanonical pencils and an application to cubic threefolds, Siegel Modular Forms of Degree Two and Three and Invariant Theory, The birational geometry of \(\overline{\mathcal{R}}_{g, 2}\) and Prym-canonical divisorial strata, On parametrizing exceptional tangent cones to Prym theta divisors, Sur la jacobienne intermédiaire du double solide d'indice deux. (On the intermediate Jacobian of the double solid of index two), On abelian varieties the theta divisor of which is singular in codimension 3, Unnamed Item, Unnamed Item, Covariants of binary sextics and modular forms of degree 2 with character, Surfaces generating the even primal cohomology of an abelian fivefold, Shimura curves in the Prym locus, Singularities of theta divisors and the geometry of \(\mathcal A_5\), Rational maps between moduli spaces of curves and Gieseker-Petri divisors, The uniformization of the moduli space of principally polarized abelian 6-folds, Generic injectivity of the Prym map for double ramified coverings, The class of the locus of intermediate Jacobians of cubic threefolds, COMPACTIFICATION OF THE PRYM MAP FOR NON-CYCLIC TRIPLE COVERINGS, Cubic threefolds and abelian varieties of dimension five, Aspetti geometrici della teoria delle varietà di Prym, Hurwitz spaces of triple coverings of elliptic curves and moduli spaces of abelian threefolds, On the Hilbert scheme of a Prym variety, The moduli space of cubic surface pairs via the intermediate Jacobians of Eckardt cubic threefolds, Second order theta divisors on Pryms, Unnamed Item, The moduli space of cubic threefolds via degenerations of the intermediate Jacobian, Unnamed Item, The primitive cohomology of the theta divisor of an abelian fivefold, The fibers of the Prym map of étale cyclic coverings of degree 7, The generic Torelli theorem for the Prym map, Unnamed Item, The fibers of the ramified Prym map, Tangent Cones to Discriminant Loci for Families of Hypersurfaces, The tetragonal construction, Generic Torelli theorem for Prym varieties of ramified coverings, A homological criterion for reducibility of analytic spaces, with application to characterizing the theta divisor of a product of two general principally polarized abelian varieties, The fibre of the Prym map in genus three
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