The Oort conjecture on Shimura curves in the Torelli locus of curves

DOI10.1016/j.matpur.2019.01.001zbMath1468.11141arXiv1405.4751OpenAlexW2964116419WikidataQ123247666 ScholiaQ123247666MaRDI QIDQ1726943

Xin Lu, Kang Zuo

Publication date: 20 February 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4751

zbMATH Keywords

hyperelliptic curvesShimura curvescomplex multiplicationTorelli locus

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Arithmetic aspects of modular and Shimura varieties (11G18) Variation of Hodge structures (algebro-geometric aspects) (14D07) Modular and Shimura varieties (14G35) Complex multiplication and abelian varieties (14K22)

Related Items (max. 100)

Infinitely many Shimura varieties in the Jacobian locus for $g \leq 4$ ⋮ Shimura varieties in the Torelli locus via Galois coverings of elliptic curves ⋮ Punctual characterization of the unitary flat bundle of weight one PVHS and application to families of curves ⋮ On the Oort conjecture for Shimura varieties of unitary and orthogonal types ⋮ On some differential-geometric aspects of the Torelli map ⋮ Symmetric spaces uniformizing Shimura varieties in the Torelli locus ⋮ Families of curves with Higgs field of arbitrarily large kernel

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