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math.AC2018
On Fröberg-Macaulay conjectures for algebras
Mats Boij, Aldo Conca
Macaulay's theorem and Fröberg's conjecture deal with the Hilbert function of homogeneous ideals in polynomial rings over a field . In this short note we present some questi…
math.AC2018
Square-free Groebner degenerations
Aldo Conca, Matteo Varbaro
Let I be a homogeneous ideal of a polynomial ring S. We prove that if the initial ideal J of I, w.r.t. a term order on S, is square-free, then the extremal Betti numbers of S/I and…