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arXiv · 1010.0457

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

Giulio Caviglia·Satoshi Murai
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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.

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Giulio Caviglia, Satoshi Murai. 2010-10-04. Sharp upper bounds of the Betti numbers for a given Hilbert polynomial. https://doi.org/10.2140/ant.2013.7.1019

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