Multigraded regularity, \(a^{*}\)-invariant and the minimal free resolution

DOI10.1016/j.jalgebra.2006.12.016zbMath1142.13010arXivmath/0501479OpenAlexW2048567108MaRDI QIDQ876342

Huy Tái Hà

Publication date: 18 April 2007

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

Full work available at URL: https://arxiv.org/abs/math/0501479

zbMATH Keywords

free resolutionlocal cohomologysheaf cohomologyvanishing theoremCohen--Macaulay\(a^*\)-invariantmultigraded regularity

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45)

Related Items (13)

Minimal free resolutions and asymptotic behavior of multigraded regularity ⋮ Open problems on syzygies and Hilbert functions ⋮ Cohen-Macaulay multigraded modules ⋮ On bigraded regularities of Rees algebra ⋮ Toric eigenvalue methods for solving sparse polynomial systems ⋮ On regularity of Rees algebras of edge ideals of cone graphs ⋮ Syzygies of curves in products of projective spaces ⋮ Computing the resolution regularity of bi-homogeneous ideals ⋮ Castelnuovo Mumford regularity with respect to multigraded ideals ⋮ Asymptotic vanishing of homogeneous components of multigraded modules and its applications ⋮ Supporting degrees of multi-graded local cohomology modules ⋮ LOCAL COHOMOLOGY OF MULTI-REES ALGEBRAS, JOINT REDUCTION NUMBERS AND PRODUCT OF COMPLETE IDEALS ⋮ Regularity of smooth curves in biprojective spaces

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