Castelnuovo-Mumford Regularity in Biprojective Spaces

Abstract

We define the concept of regularity for bigraded modules and bigraded polynomial ring. In this setting we prove analogs of some of the classical results on $m$-regularity for graded modules over polynomial algebras.

17 Pages, 2 figures

Cited by in corpus (3)

• Regularity and Saturation in Biprojective Spaces
• The regularity of points in multi-projective spaces
• Curvilinear Base Points, Local Complete Intersection and Kozsul Syzygies in Biprojective Spaces