On Shimura subvarieties generated by families of abelian covers of \(\mathbb{P}^1\)
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Publication:1678281
DOI10.1016/j.jpaa.2017.05.015zbMath1432.14024arXiv1402.1900OpenAlexW2616031210MaRDI QIDQ1678281
Publication date: 14 November 2017
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.1900
Jacobians, Prym varieties (14H40) Complex multiplication and moduli of abelian varieties (11G15) Modular and Shimura varieties (14G35)
Related Items (13)
Infinitely many Shimura varieties in the Jacobian locus for $g \leq 4$ ⋮ Shimura varieties in the Torelli locus via Galois coverings of elliptic curves ⋮ Smooth covers of moduli stacks of Riemann surfaces with symmetry ⋮ On the structure of metabelian Galois coverings of complex algebraic varieties ⋮ Higher dimensional Shimura varieties in the Prym loci of ramified double covers ⋮ Unnamed Item ⋮ The Oort conjecture on Shimura curves in the Torelli locus of curves ⋮ On the bielliptic and bihyperelliptic loci ⋮ On some differential-geometric aspects of the Torelli map ⋮ Some evidence for the Coleman-Oort conjecture ⋮ On Shimura subvarieties of the Prym locus ⋮ Shimura subvarieties via endomorphisms ⋮ Shimura subvarieties in the Prym locus of ramified Galois coverings
Cites Work
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- 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
- Schwarz triangle mappings and Teichmüller curves: abelian square-tiled surfaces
- Cyclic coverings, Calabi-Yau manifolds and complex multiplication
- Tresses, monodromie et le groupe symplectique
- Algebraic solutions of differential equations (p-curvature and the Hodge filtration)
- A characterization of certain Shimura curves in the moduli stack of abelian varieties
- Monodromy of hypergeometric functions and non-lattice integral monodromy
- On analytic families of polarized abelian varieties and automorphic functions
- Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
- The Torelli locus and special subvarieties
- Shimura Varieties in the Torelli Locus via Galois Coverings
- On the period map for abelian covers of algebraic varieties
- Complex multiplication, Griffiths-Yukawa couplings, and rigidity for families of hypersurfaces
- Abelian covers of algebraic varieties.
- On Mumford's families of Abelian varieties
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