Koszul homology and syzygies of Veronese subalgebras

Details Koszul homology and syzygies of Veronese subalgebras Koszul homology and syzygies of Veronese subalgebras

2009-02-14

arxiv.org/abs/0902.2431v2

Mathematics

Commutative Algebra

17 pages, minor modifications

Scientific paper

A graded K-algebra R has property N_p if it is generated in degree 1, has relations in degree 2 and the syzygies of order less or equal to p on the relations are linear. The Green-Lazarsfeld index of R is the largest p such that it satisfies the property N_p. Our main results assert that (under a mild assumption on the base field K) the c-th Veronese subring of a polynomial ring has Green-Lazarsfeld index greater or equal to c+1. The same conclusion also holds for an arbitrary standard graded algebra, provided c is sufficiently large.

Affiliated with

Also associated with

No associations

Rating

Koszul homology and syzygies of Veronese subalgebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Koszul homology and syzygies of Veronese subalgebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Koszul homology and syzygies of Veronese subalgebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-55112