Topological formulae for the zeroth cohomology of line bundles on del Pezzo and Hirzebruch surfaces

DOI10.1515/coma-2020-0115zbMath1471.32022arXiv1906.08363OpenAlexW3184757787MaRDI QIDQ2049047

Rehan Deen, Andrei Constantin, Callum R. Brodie, André Lukas

Publication date: 24 August 2021

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.08363

zbMATH Keywords

del Pezzo surfacesHirzebruch surfacesline bundle cohomology

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Compact complex surfaces (32J15)

Related Items (6)

Flops, Gromov-Witten invariants and symmetries of line bundle cohomology on Calabi-Yau three-folds ⋮ Machine Learning Line Bundle Cohomology ⋮ Index Formulae for Line Bundle Cohomology on Complex Surfaces ⋮ Explore and Exploit with Heterotic Line Bundle Models ⋮ Algebraic capacities ⋮ Geodesics in the extended Kähler cone of Calabi-Yau threefolds

Cites Work

• Machine learning line bundle cohomologies of hypersurfaces in toric varieties
• Machine Learning Line Bundle Cohomology
• Index Formulae for Line Bundle Cohomology on Complex Surfaces
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