Frobenius map on local Calabi–Yau manifolds

DOI10.1063/1.3075574zbMath1202.14021arXiv0810.2195OpenAlexW2084290497MaRDI QIDQ3650437

Ilya L. Shapiro

Publication date: 14 December 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2195

zbMATH Keywords

Riemann surfacesde Rham cohomologyDwork cohomologyaction of the Frobenius morphism induced on the cohomology of the Calabi-Yau threefold

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) de Rham cohomology and algebraic geometry (14F40)

Cites Work

• Frobenius transformation, mirror map and instanton numbers
• Integrality of instanton numbers and \(p\)-adic B-model
• On the differential equations satisfied by period matrices
• On the periods of certain rational integrals. I, II

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