Totally geodesic subvarieties in the moduli space of curves

DOI10.1142/S0219199720500200zbMath1455.14013arXiv1902.06098OpenAlexW3036464093MaRDI QIDQ5152076

Gian Pietro Pirola, Alessandro Ghigi, Sara Torelli

Publication date: 18 February 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.06098

zbMATH Keywords

Massey productsmoduli space of curvesFujita decompositionstotally geodesics submanifolds

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Period matrices, variation of Hodge structure; degenerations (32G20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Families, moduli of curves (analytic) (14H15)

Related Items (max. 100)

Infinitely many Shimura varieties in the Jacobian locus for $g \leq 4$ ⋮ Shimura curves in the Prym loci of ramified double covers ⋮ On the Jacobian locus in the Prym locus and geodesics ⋮ 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 ⋮ Punctual characterization of the unitary flat bundle of weight one PVHS and application to families of curves ⋮ On the geometry of the second fundamental form of the Torelli map ⋮ Some evidence for the Coleman-Oort conjecture ⋮ Symmetric spaces uniformizing Shimura varieties in the Torelli locus ⋮ Families of curves with Higgs field of arbitrarily large kernel

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