Jeremy Usatine

activity

20122026

most citedThe motivic zeta functions of a matroid

9 citations · 22 across the 16 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.AG2018

Motivic zeta functions of hyperplane arrangements

Max Kutler, Jeremy Usatine

For each central essential hyperplane arrangement $A$ over an algebraically closed field, let $Z_{A}^{μ^} (T)$ denote the Denef-Loeser motivic zeta function of…

math.AG2018

Hyperplane arrangements and mixed Hodge numbers of the Milnor fiber

Max Kutler, Jeremy Usatine

For each complex central essential hyperplane arrangement $A$ , let $F_{A}$ denote its Milnor fiber. We use Tevelev's theory of tropical compactifications to stu…

math.AG2018

Motivic Volumes of Fibers of Tropicalization

Jeremy Usatine

Let $T$ be an algebraic torus over an algebraically closed field, let $X$ be a smooth closed subvariety of a $T$ -toric variety such that $U = X \cap T$ is not empty, and let $\math…