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math.AC2021
A formula for symbolic powers
Paolo Mantero, Cleto B. Miranda-Neto, Uwe Nagel
Let be a Cohen-Macaulay ring which is local or standard graded over a field, and let be an unmixed ideal that is also generically a complete intersection. Our goal in this…
math.AC2021
The structure of Koszul algebras defined by four quadrics
Paolo Mantero, Matthew Mastroeni
Avramov, Conca, and Iyengar ask whether for all when is a Koszul algebra minimally defined by quadrics. In recent work, we give an affi…
math.AC2021
The Alexander-Hirschowitz theorem and related problems
Huy Tai Ha, Paolo Mantero
We present a proof of the celebrated result due to Alexander and Hirschowitz which determines when a general set of double points in has the expected Hilbert function…