4 papers
math.CO2019
The motivic zeta functions of a matroid
David Jensen, Max Kutler, Jeremy Usatine
We introduce motivic zeta functions for matroids. These zeta functions are defined as sums over the lattice points of Bergman fans, and in the realizable case, they coincide with t…
math.AG2018
Motivic zeta functions of hyperplane arrangements
Max Kutler, Jeremy Usatine
For each central essential hyperplane arrangement over an algebraically closed field, let 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 , let denote its Milnor fiber. We use Tevelev's theory of tropical compactifications to stu…
math.AG2016
Faithful tropicalization of hypertoric varieties
Max B. Kutler
The hypertoric variety defined by an affine arrangement admits a natural tropicalization, induced by its embedding in a Lawrence toric va…