The algebraic hull of the Kontsevich-Zorich cocycle

• 成果类型: Article
• 署名作者: Eskin, Alex; Filip, Simion; Wright, Alex
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2018.188.1.5
• 发表日期: 2018
• 页码: 281-313
• 关键词: teichmuller-curves; orbit closures; moduli space; SURFACES; DYNAMICS; genus-2; FLOWS

摘要

We compute the algebraic hull of the Kontsevich Zorich cocycle over any GL(2)(+) (R) invariant subvariety of the Hodge bundle, and derive from this finiteness results on such subvarieties.