M. Bertucci

collaborators

3 papers

math.AG2026

Bertini theorems for Hilbert-Samuel multiplicity over finite fields

Rahul Ajit, Matthew Bertucci

Let $X$ be a quasiprojective subscheme of $P_{F_{q}}^{n}$ . We prove a Bertini theorem for Hilbert--Samuel multiplicity of $X$ ; that is, there exists a positive-densit…

math.AG2026

Taylor conditions over finite fields

Matthew Bertucci

We extend Poonen's Bertini theorem over finite fields to Taylor conditions arising from locally free quotients of the sheaf of differentials on projective space. This is motivated…

math.NT2025

Equidistribution and arithmetic $I^$ -distributions

Matthew Bertucci, Sean Howe

We formulate an abstract notion of equidistribution for families of $I^»$ -probability spaces parameterized by admissible $Z$ -sets. Under the assumption of equidistribution,…

Bertini theorems for Hilbert-Samuel multiplicity over finite fields

Taylor conditions over finite fields

Equidistribution and arithmetic I^-distributions

Equidistribution and arithmetic $I^$ -distributions