Sharp upper bounds of the Betti numbers for a given Hilbert polynomial

Details Sharp upper bounds of the Betti numbers for a given Hilbert polynomial Sharp upper bounds of the Betti numbers for a given Hilbert polynomial

2010-10-04

arxiv.org/abs/1010.0457v1

Mathematics

Commutative Algebra

43 pages

Scientific paper

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.

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