The uniformization of the moduli space of principally polarized abelian 6-folds

DOI10.1515/crelle-2018-0005zbMath1471.14090arXiv1507.05710OpenAlexW2963937296MaRDI QIDQ1985541

Elham Izadi, Angela Ortega, Gavril Farkas, Ron Y. Donagi, Valery Alexeev

Publication date: 7 April 2020

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05710

zbMATH Keywords

Hurwitz spaceabelian varietiesmoduli27 linesPrym-Tyurin varieties

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Algebraic moduli of abelian varieties, classification (14K10)

Related Items

Unnamed Item, Unnamed Item

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extending the Torelli map to toroidal compactifications of Siegel space
• Singularities of theta divisors and the geometry of \(\mathcal A_5\)
• Isomonodromic tau function on the space of admissible covers
• Compactified Jacobians and Torelli map
• The structure of the Prym map
• Hurwitz spaces of Galois coverings of \(\mathbb P^1\), whose Galois groups are Weyl groups
• Intermediate Jacobians and Chow groups of threefolds with a pencil of del Pezzo surfaces
• The Kodaira dimension of the moduli space of Prym varieties
• The unirationality of \({\mathcal A}_ 5\).
• A new compactification of the Siegel space and degeneration of Abelian varieties. II
• Prym varieties and Schottky problem
• The Hodge bundle on Hurwitz spaces
• Projectivity of complete moduli
• On the Kodaira dimension of the moduli space of curves
• Complete moduli in the presence of semiabelian group action.
• A Galois-theoretic approach to Kanev's correspondence
• The intermediate Jacobian of the cubic threefold
• Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• Automorphisms of Coxeter groups of rank three
• The universal abelian variety over $A_5$
• The primitive cohomology of the theta divisor of an abelian fivefold
• Classical Algebraic Geometry
• Counter-examples of high Clifford index to Prym-Torelli
• On Algebraic Equivalences Among the Twenty-Seven Abel-Prym Curves on a Generic Abelian Five-Fold
• Contractible Extremal Rays on \overline{M}_{0,n}
• Reflection subgroups of finite and affine Weyl groups
• On the canonical holomorphic map from the Moduli space of stable curves to the Igusa monoidal transform
• Correspondences with split polynomial equations
• Koszul divisors on moduli spaces of curves
• The fibers of the Prym map
• Relative Bogomolov’s inequality and the cone of positive divisors on the moduli space of stable curves
• Twisted Bundles and Admissible Covers
• Cubic threefolds and abelian varieties of dimension five
• Degenerations of Prym varieties
• The Mori cones of moduli spaces of pointed curves of small genus
• Wronski algebra systems on families of singular curves