Castelnuovo-Mumford regularity and Ratliff-Rush closure

Autor:	Dinh, Trung Thanh, Rossi, Maria Evelina, Trung, Ngo Viet
Rok vydání:	2015
Předmět:	Mathematics - Commutative Algebra Mathematics - Algebraic Geometry 13A30 13C05 13H10 14M05
Druh dokumentu:	Working Paper
Popis:	We establish strong relationships between the Castelnuovo-Mumford regularity and the Ratliff-Rush closure of an ideal. Our results have several interesting consequences on the computation of the Ratliff-Rush closure, the stability of the Ratliff-Rush filtration, the invariance of the reduction number, and the computation of the Castelnuovo-Mumford regularity of the Rees algebra and the fiber ring. In particular, we prove that the Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring are equal for large classes of monomial ideals in two variables, thereby verifying a conjecture of Eisenbud and Ulrich for these cases. Comment: 16 pages; to appear in Journal of Algebra
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1512.04372 Zobrazit plný text záznamu View this record from Arxiv