scientific article; zbMATH DE number 1445244
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Publication:4952554
zbMath0966.14018arXivmath/9803028MaRDI QIDQ4952554
Publication date: 20 August 2001
Full work available at URL: https://arxiv.org/abs/math/9803028
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group cohomologylocally symmetric varietiescomplex \(n\)-ballmoduli space of principally polarized abelian varieties of dimension \(g\)
Homogeneous spaces and generalizations (14M17) Families, moduli of curves (algebraic) (14H10) Jacobians, Prym varieties (14H40)
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Infinitely many Shimura varieties in the Jacobian locus for $g \leq 4$ ⋮ Shimura varieties in the Torelli locus via Galois coverings of elliptic curves ⋮ The asymptotic Schottky problem ⋮ The Coleman–Oort conjecture: Reduction to three key cases ⋮ Irrationality and monodromy for cubic threefolds ⋮ General expansion for period maps of Riemann surfaces ⋮ On the Oort conjecture for Shimura varieties of unitary and orthogonal types ⋮ The Oort conjecture on Shimura curves in the Torelli locus of curves ⋮ Shimura curves in the Prym locus ⋮ Totally geodesic subvarieties in the moduli space of curves ⋮ On Shimura curves in the Schottky locus ⋮ On some differential-geometric aspects of the Torelli map ⋮ Coleman-Oort's conjecture for degenerate irreducible curves ⋮ On CM points away from the Torelli locus ⋮ Bergman kernel and period map for curves ⋮ Symmetric spaces uniformizing Shimura varieties in the Torelli locus ⋮ Torelli locus and rigidity
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