Hilbert polynomials of non-standard bigraded algebras

Details Hilbert polynomials of non-standard bigraded algebras Hilbert polynomials of non-standard bigraded algebras

2002-11-11

arxiv.org/abs/math/0211181v1

Mathematics

Commutative Algebra

23 pages

Scientific paper

This paper is a systematic study of the Hilbert polynomial of a bigraded algebra R which are generated by elements of bidegrees (1,0), (d_1,1),...,(d_r,1), where d_1,...,d_r are non-negative integers. The obtained results can be applied to study Rees algebras of homogeneous ideals and their diagonal subalgebras. The Hilbert polynomial is computed explicitly in the following cases: (1) R is a bigraded polynomial ring of the above type; (2) R is the Rees algebra of an ideal generated by a homogeneous regular sequence; (3) R is the Rees algebra of the ideal generated by the maximal minors of a generic (r-1) by r matrix.

Affiliated with

Also associated with

No associations

Rating

Hilbert polynomials of non-standard bigraded algebras 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 Hilbert polynomials of non-standard bigraded algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hilbert polynomials of non-standard bigraded algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-19397