Sharp upper bounds of the Betti numbers for a given Hilbert polynomial
classification
🧮 math.AC
keywords
gradedpolynomialbettihilbertnumberssaturatedboundsexists
read the original 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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