Matthew Mastroeni

activity

20182020

collaborators

4 papers

math.AC2020

Computing generalized Frobenius powers of monomial ideals

Christopher A. Francisco, Matthew Mastroeni, Jeffrey Mermin +1

Generalized Frobenius powers of an ideal were introduced in work of Hernández, Teixeira, and Witt as characteristic-dependent analogs of test ideals. However, little is known about…

math.AC2019

Betti numbers of Koszul algebras defined by four quadrics

Paolo Mantero, Matthew Mastroeni

Let $I$ be an ideal generated by quadrics in a standard graded polynomial ring $S$ 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 I

Matthew Mastroeni, Hal Schenck, Mike Stillman

Let $R$ 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 $reg R \leq 2$ or if…

math.AC2018

Koszul almost complete intersections

Matthew Mastroeni

Let $R = S / I$ be a quotient of a standard graded polynomial ring $S$ by an ideal $I$ generated by quadrics. If $R$ is Koszul, a question of Avramov, Conca, and Iyengar asks whether…