Illinois Journal of Mathematics
- Illinois J. Math.
- Volume 51, Number 1 (2007), 237-254.
Annihilators of local cohomology in characteristic zero
This paper discusses the problem of whether it is possible to annihilate elements of local cohomology modules by elements of arbitrarily small order under a fixed valuation. We first discuss the general problem and its relationship to the Direct Summand Conjecture, and next present two concrete examples where annihilators with small order are shown to exist. We then prove a more general theorem, where the existence of such annihilators is established in some cases using results on abelian varieties and the Albanese map.
Illinois J. Math., Volume 51, Number 1 (2007), 237-254.
First available in Project Euclid: 20 November 2009
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 13D22: Homological conjectures (intersection theorems)
Secondary: 13D45: Local cohomology [See also 14B15] 14K05: Algebraic theory
Roberts, Paul; Singh, Anurag K.; Srinivas, V. Annihilators of local cohomology in characteristic zero. Illinois J. Math. 51 (2007), no. 1, 237--254. doi:10.1215/ijm/1258735334. https://projecteuclid.org/euclid.ijm/1258735334