Birational invariance of \(H^1 (\mathcal{O})\)

DOI10.1007/s00013-023-01939-xOpenAlexW4388947061MaRDI QIDQ6189346

Rémi Shankar Lodh

Publication date: 8 February 2024

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-023-01939-x

zbMATH Keywords

resolution of singularitiesfirst cohomology grouprational singularitiesPicard functorbirational invariants

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Vanishing theorems in algebraic geometry (14F17) Picard schemes, higher Jacobians (14K30) Rational and birational maps (14E05) Sheaves in algebraic geometry (14F06)

Cites Work

• Unnamed Item
• Higher direct images of the structure sheaf in positive characteristic
• Pseudo-rational local rings and a theorem of Briancon-Skoda about integral closures of ideals
• Rational singularities, with applications to algebraic surfaces and unique factorization
• A new characterization of rational surface singularities
• Vanishing of the higher direct images of the structure sheaf
• Néron Models

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