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.
Citation
Giulio Caviglia. Satoshi Murai. "Sharp upper bounds for the Betti numbers of a given Hilbert polynomial." Algebra Number Theory 7 (5) 1019 - 1064, 2013. https://doi.org/10.2140/ant.2013.7.1019
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