The Oort conjecture for Shimura curves of small unitary rank

DOI10.1007/s40304-018-0155-8zbMath1403.14025arXiv1712.03674OpenAlexW2962784944WikidataQ123277570 ScholiaQ123277570MaRDI QIDQ1757186

Ke Chen, Xin Lu, Kang Zuo

Publication date: 2 January 2019

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03674

zbMATH Keywords

Shimura curvesHiggs bundlesColeman-Oort conjecturecorestrictionTorelli locus

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Fibrations, degenerations in algebraic geometry (14D06) Complex multiplication and abelian varieties (14K22)

Related Items (2)

Punctual characterization of the unitary flat bundle of weight one PVHS and application to families of curves ⋮ Families of curves with Higgs field of arbitrarily large kernel

Cites Work

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• The Oort conjecture on Shimura curves in the Torelli locus of hyperelliptic curves
• A note of Shimura's paper: Discontinuous groups and Abelian varieties
• A new inequality on the Hodge number of algebraic surfaces
• On the slope conjecture of Barja and Stoppino for fibred surfaces
• On the Oort conjecture for Shimura varieties of unitary and orthogonal types

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