9 citations · 56 across the 26 of their papers we have counts for
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math.AC2010★ 3 cited
Sharp upper bounds of the Betti numbers for a given Hilbert polynomial
Giulio Caviglia, Satoshi Murai
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 Hilb…
math.AC2010
Poset Embeddings of Hilbert Functions
Giulio Caviglia, Manoj Kummini
For a standard graded algebra , we consider embeddings of the the poset of Hilbert functions of quotients of into the poset of ideals of , as a way of classification of H…