Bott vanishing for elliptic surfaces

DOI10.1007/s00209-021-02850-3zbMath1478.14034arXiv2105.03575OpenAlexW3196864445MaRDI QIDQ2069664

Chengxi Wang

Publication date: 21 January 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.03575

zbMATH Keywords

elliptic fibrationcoherent sheaf cohomologysingular fibersBott vanishing

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Divisors, linear systems, invertible sheaves (14C20)

Cites Work

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• Enriques surfaces. I
• On the Hodge structure of projective hypersurfaces in toric varieties
• The Frobenius morphism on a toric variety
• Vanishing theorems on toric varieties.
• Wahl maps and extensions of canonical curves and \(K3\) surfaces
• Global Frobenius liftability. I
• Mukai's program (reconstructing a \(K3\) surface from a curve) via wall-crossing
• Multiplication maps and vanishing theorems for toric varieties
• Elliptic Surfaces
• Bott vanishing for algebraic surfaces

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