On the geometry of the second fundamental form of the Torelli map

DOI10.1090/proc/15291zbMath1458.14042arXiv1907.11407OpenAlexW2965188044MaRDI QIDQ5150176

Gian Pietro Pirola, Paola Frediani

Publication date: 10 February 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.11407

zbMATH Keywords

second fundamental formTorelli mapmoduli space of curvestotally geodesics submanifolds

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Period matrices, variation of Hodge structure; degenerations (32G20) Jacobians, Prym varieties (14H40) Families, moduli of curves (analytic) (14H15)

Related Items

Infinitely many Shimura varieties in the Jacobian locus for $g \leq 4$ ⋮ Shimura curves in the Prym loci of ramified double covers ⋮ On the dimension of totally geodesic submanifolds in the Prym loci ⋮ A Hodge theoretic projective structure on compact Riemann surfaces ⋮ Higher dimensional Shimura varieties in the Prym loci of ramified double covers ⋮ Some evidence for the Coleman-Oort conjecture ⋮ Shimura subvarieties via endomorphisms ⋮ Symmetric spaces uniformizing Shimura varieties in the Torelli locus

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