Monica Lewis

collaborators

3 papers

math.AC2023

F-Holonomic F-Modules

Monica Lewis

Let $R = F_{p} [x_{1}, \dots, x_{n}]$ and let $F$ be the ring of Frobenius operators over $R$ . We introduce a notion of Bernstein dimension and multiplicity for the class o…

math.AG2020

The sum of the Betti numbers of smooth Hilbert schemes

Joseph Donato, Monica Lewis, Tim Ryan +2

In this paper, we compute the sum of the Betti numbers for 6 of the 7 families of smooth Hilbert schemes over projective space.

math.AC2020

The Fedder action and a simplicial complex of local cohomologies

Eric Canton, Monica Lewis

Let $R$ be a regular ring of prime characteristic $p > 0$ , and let $f = f_{1}, \dots, f_{c}$ be a permutable regular sequence of codimension $c \geq 1$ . We describe a…