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math.AC2019
Betti numbers of Koszul algebras defined by four quadrics
Paolo Mantero, Matthew Mastroeni
Let be an ideal generated by quadrics in a standard graded polynomial ring over a field. A question of Avramov, Conca, and Iyengar asks whether the Betti numbers of $R = S/…
math.AC2019
Quadratic Gorenstein rings and the Koszul property II
Matthew Mastroeni, Hal Schenck, Mike Stillman
A question of Conca, Rossi, and Valla asks whether every quadratic Gorenstein ring of regularity three is Koszul. In a previous paper, we use idealization to answer their quest…
math.AC2019
Quadratic Gorenstein rings and the Koszul property I
Matthew Mastroeni, Hal Schenck, Mike Stillman
Let be a standard graded Gorenstein algebra over a field presented by quadrics. Conca, Rossi, and Valla have shown that such a ring is Koszul if or if…