Sharp upper bounds of the Betti numbers for a given Hilbert polynomial
Commutative Algebra
2016-01-20 v1
Abstract
We show that there exists a saturated graded ideal in a standard graded polynomial ring which has the largest total Betti numbers among all saturated graded ideals for a fixed Hilbert polynomial.
Cite
@article{arxiv.1010.0457,
title = {Sharp upper bounds of the Betti numbers for a given Hilbert polynomial},
author = {Giulio Caviglia and Satoshi Murai},
journal= {arXiv preprint arXiv:1010.0457},
year = {2016}
}
Comments
43 pages