Higher dimensional Shimura varieties in the Prym loci of ramified double covers
From MaRDI portal
Publication:6047322
DOI10.1002/mana.202100161arXiv2101.09016OpenAlexW3125005737MaRDI QIDQ6047322
Abolfazl Mohajer, Paola Frediani, Gian Paolo Grosselli
Publication date: 9 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.09016
Families, moduli of curves (algebraic) (14H10) Jacobians, Prym varieties (14H40) Modular and Shimura varieties (14G35) Subvarieties of abelian varieties (14K12) Families, moduli of curves (analytic) (14H15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Prym map and second Gaussian map for Prym-canonical line bundles
- Irreducibility of the space of dihedral covers of the projective line of a given numerical type
- Special subvarieties arising from families of cyclic covers of the projective line
- Prym varieties of cyclic coverings
- Schwarz triangle mappings and Teichmüller curves: abelian square-tiled surfaces
- The equisymmetric stratification of the moduli space and the Krull dimension of mapping class groups
- On Shimura subvarieties generated by families of abelian covers of \(\mathbb{P}^1\)
- A bound on the dimension of a totally geodesic submanifold in the Prym locus
- The generic Torelli theorem for the Prym map
- Polarisations of type \((1,2,\dots ,2)\) on abelian varieties
- On some differential-geometric aspects of the Torelli map
- Some evidence for the Coleman-Oort conjecture
- On the dimension of totally geodesic submanifolds in the Prym loci
- A note of Shimura's paper: Discontinuous groups and Abelian varieties
- Galois covers, Grothendieck-Teichmüller theory and dessins d'enfants -- an introduction
- Prym Varieties of Double Coverings of Elliptic Curves
- The Torelli locus and special subvarieties
- Generic Torelli theorem for Prym varieties of ramified coverings
- Geometry of Algebraic Curves
- Genus stabilization for the components of moduli spaces of curves with symmetries
- Shimura Varieties in the Torelli Locus via Galois Coverings
- On the period map for abelian covers of algebraic varieties
- Shimura curves in the Prym locus
- Generic injectivity of the Prym map for double ramified coverings
- On Shimura subvarieties of the Prym locus
- Infinitely many Shimura varieties in the Jacobian locus for $g \leq 4$
- Shimura curves in the Prym loci of ramified double covers
- Global Prym-Torelli for double coverings ramified in at least six points
- Global Prym–Torelli theorem for double coverings of elliptic curves
- On the geometry of the second fundamental form of the Torelli map
- Totally geodesic subvarieties in the moduli space of curves
- On totally geodesic submanifolds in the Jacobian locus
- Surfaces Isogenous to a Product of Curves, Braid Groups and Mapping Class Groups