Castelnuovo–Mumford Regularity and Powers

DOI10.1007/978-3-030-89694-2_4zbMath1498.13030arXiv2107.14734OpenAlexW4212823511MaRDI QIDQ5051877

Aldo Conca, Matteo Varbaro, Winfried Bruns

Publication date: 18 November 2022

Published in: Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.14734

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02)

Cites Work

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• Castelnuovo's regularity of graded rings and modules
• Linear free resolutions and minimal multiplicity
• Asymptotic linear bounds of Castelnuovo-Mumford regularity in multigraded modules
• Homological properties of bigraded algebras
• Powers of ideals and the cohomology of stalks and fibers of morphisms
• Powers of ideals and fibers of morphisms
• Maximal minors and linear powers
• A remark on regularity of powers and products of ideals
• The eventual shape of Betti tables of powers of ideals
• On the asymptotic linearity of Castelnuovo-Mumford regularity.
• Asymptotic behaviour of Castelnuovo-Mumford regularity
• Powers of Ideals: Betti Numbers, Cohomology and Regularity
• Regularity stabilization for the powers of graded $\operatorname {\frak {M}}$-primary ideals
• Linear Resolutions of Powers and Products
• Notes on regularity stabilization
• Lectures on Curves on an Algebraic Surface. (AM-59)

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