Volume no :2, Issue no: 1, September (2009)

Journal of Algebra, Number Theory: Advances and Applications

GENERALIZED CASTELNUOVO-MUMFORD REGULARITY AND THE PIECEWISE-KOSZULITY

Author's: Yuan Pan
Pages: [59] - [70]
Received Date: August 28, 2009
Submitted by:

Abstract

We generalize the classical Castelnuovo-Mumford regularity (CM-regularity for short) of a finitely generated graded module and use the ‘generalized regularity’ to revisit piecewise-Koszul objects. Moreover, for a special commutative graded piecewise-Koszul algebra A and We prove that, there exists an integer r, such that is a piecewise-Koszul module, which is related to a conjecture of G. Kempf ’s.

Keywords

(generalized) Castelnuovo-Mumford regularity, piecewise-Koszul resolution.