Gotzmann regularity for globally generated coherent sheaves

DOI10.1016/J.JPAA.2015.09.019zbMath1338.13028arXiv1410.8612OpenAlexW1854920657MaRDI QIDQ898194

Roger Dellaca

Publication date: 8 December 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8612

zbMATH Keywords

coherent sheafsecond Chern class\(d\)-th Macaulay representationGotzmann persistence theoremGotzmann regularity theoremMacaulay bound

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (3)

On degenerate sections of vector bundles ⋮ Gotzmann's persistence theorem for finite modules ⋮ Computing quot schemes via marked bases over quasi-stable modules

Cites Work

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• Rank two globally generated vector bundles with c_1 \leq 5
• Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman

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