Bipolynomial Hilbert functions

Details Bipolynomial Hilbert functions Bipolynomial Hilbert functions

2009-10-19

arxiv.org/abs/0910.3569v1

Mathematics

Algebraic Geometry

Scientific paper

Let X be a closed subscheme and let HF(X,-) and hp(X,-) denote, respectively, the Hilbert function and the Hilbert polynomial of X. We say that X has bipolynomial Hilbert function if HF(X,d)=min{hp(P^n,d),hp(X,d)} for every non-negative integer d. We show that if X consists of a plane and generic lines, then X has bipolynomial Hilbert function. We also conjecture that generic configurations of non-intersecting linear spaces have bipolynomial Hilbert function.

Affiliated with

Also associated with

No associations

Rating

Bipolynomial Hilbert functions 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 Bipolynomial Hilbert functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bipolynomial Hilbert functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-716294