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arxiv: 1504.05380 · v1 · pith:TWQFEI7Tnew · submitted 2015-04-21 · 🧮 math.NT · math.AG

A note on Shimura subvarieties in the hyperelliptic Torelli locus

classification 🧮 math.NT math.AG
keywords hyperellipticlocusshimurasubvarietiestorellianaloguecaseconjecture
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We prove the non-existence of Shimura subvarieties of positive dimension contained generically in the hyperelliptic Torelli locus for curves of genus at least 8, which is an analogue of Oort's conjecture in the hyperelliptic case.

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