Single spot ideals of codimension 3 and long Bourbaki sequences
Yukihide Takayama
Abstract
Let K be a field and S = K[x1,...,xn] be a polynomial ring. A single spot ideal I =< S is a graded ideal whose local cohomology Hi(S/I), i< dim S/I and = (x1,...,xn), only has non-trivial value N, a finite length module, at i = depth S/I. We consider characterization of single spot ideals in terms of (long) Bourbaki sequences. The codimension 2 case has been fairly well investigated. In this paper, we focus on the codimension 3 case.
Create a lesson
Related papers
Counterexamples to Minkowski-type inequalities and the Rees converse for modules via mixed Buchsbaum-Rim Multiplicities
V. H. Jorge Perez
A complex associated to a family of ideals and applications to subspace arrangements
Aldo Conca, Manolis C. Tsakiris
On the Isotropy Groups of Locally Finite Derivations of Laurent Polynomial Algebras
Anderson Porto, Marcelo Veloso
Hook algebras and determinantal varieties
Steven V Sam, Keller VandeBogert, Jerzy Weyman
Polycubes and polycube ideals
Ayesha Asloob Qureshi, Dharm Veer
Derived functors and Hilbert polynomials over dominant Cohen-Macaulay rings
Tony J. Puthenpurakal