𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the vanishing of Tor of the absolute integral closure

✍ Scribed by Hans Schoutens


Book ID
104140895
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
178 KB
Volume
275
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis


Let R be an excellent local domain of positive characteristic with residue field k and let R + be its absolute integral closure. If Tor R 1 (R + , k) vanishes, then R is weakly F-regular.


πŸ“œ SIMILAR VOLUMES


On the integral closure of ideals
✍ Alberto Corso; Craig Huneke; Wolmer V. Vasconcelos πŸ“‚ Article πŸ“… 1998 πŸ› Springer 🌐 English βš– 254 KB
On the integral closure of a half-factor
✍ Jim Coykendall πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 115 KB

A half-factorial domain (HFD), R, is an atomic integral domain where given any two products of irreducible elements of R: As a natural generalization of unique factorization domains (UFD), one wishes to investigate which "good" properties of UFDs that HFDs possess. In particular, it has been conjec