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On Complete Intersections and Their Hilbert Functions [PDF]

Canadian Mathematical Bulletin, 1991
AbstractWe deal here with the existence of half-way nonzero divisors for complete intersections and with related properties of their Hilbert functions.
Reid, Les, Roberts, Leslie G., Roitman, Moshe   +2 more
openaire   +3 more sources

On cohomologically complete intersections [PDF]

Journal of Algebra, 2008
An ideal I of a local Gorenstein ring (R,m) is called cohomologically complete intersection whenever HIi(R)=0 for all i≠heightI. Here HIi(R), i∈Z, denotes the local cohomology of R with respect to I. For instance, a set-theoretic complete intersection is
Peter Schenzel
exaly   +2 more sources

A Hypergraph Characterization of Nearly Complete Intersections [PDF]

Association for Women in Mathematics Series, 2021
Recently, nearly complete intersection ideals were defined by Boocher and Seiner to establish lower bounds on Betti numbers for monomial ideals (arXiv:1706.09866). Stone and Miller then characterized nearly complete intersections using the theory of edge
Martin, Spencer, Pothagoni, Shrunal, Bondi, Chiara, Ke, Yuye, Stelzer, Andrew, Gibbons, Courtney R.   +5 more
exaly   +3 more sources

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Rational Complete Intersections

The Quarterly Journal of Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. BALLICO, COSSIDENTE, Antonio
openaire   +1 more source

On intersections of complete intersection ideals

Journal of Pure and Applied Algebra, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cimpoeaş, Mircea, Stamate, Dumitru I.
openaire   +2 more sources

Criteria for Complete Intersections

1997
In this paper we discuss two results in commutative algebra that are used in A. Wiles’s proof that all semi-stable elliptic curves over Q are modular [11].
de Smit, B., Rubin, K., Schoof, R.
openaire   +2 more sources

Complete Intersection Flat Dimension and the Intersection Theorem

Algebra Colloquium, 2012
Any finitely generated module M over a local ring R is endowed with a complete intersection dimension CI-dim RM and a Gorenstein dimension G-dim RM. The Gorenstein dimension can be extended to all modules over the ring R. This paper presents a similar extension for the complete intersection dimension, and mentions the relation between this dimension ...
Sahandi, Parviz, Sharif, Tirdad, Yassemi, Siamak   +2 more
openaire   +2 more sources