Castelnuovo-Mumford regularity of simplicial toric rings.
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Publication:1867303
DOI10.1016/S0021-8693(02)00541-0zbMath1080.13504MaRDI QIDQ1867303
Publication date: 2 April 2003
Published in: Journal of Algebra (Search for Journal in Brave)
Castelnuovo-Mumford regularitylocal cohomologyreduction numbertoric ringEisenbud-Gotos conjecturestandard graded domain
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45)
Related Items (10)
A combinatorial proof of the Eisenbud-Goto conjecture for monomial curves and some simplicial semigroup rings ⋮ Sumsets and Veronese varieties ⋮ Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings ⋮ Decomposition of Semigroup Algebras ⋮ MonomialAlgebras ⋮ Castelnuovo-Mumford regularity and the reduction number of some monomial curves ⋮ Cohen-Macaulay property and linearity of pinched Veronese rings ⋮ Castelnuovo-Mumford regularity and reduction number of smooth monomial curves in $\mathbb{P}^{5}$ ⋮ Gröbner Bases of Simplicial Toric Ideals ⋮ Simplicial affine semigroups with monomial minimal reduction ideals
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