4 papers
The local motivic monodromy conjecture for simplicial nondegenerate singularities
Matt Larson, Sam Payne, Alan Stapledon
We prove the local motivic monodromy conjecture for singularities that are nondegenerate with respect to a simplicial Newton polyhedron. It follows that all poles of the local topo…
The Kodaira dimensions of and
Gavril Farkas, David Jensen, Sam Payne
We prove that the moduli spaces of curves of genus 22 and 23 are of general type. To do this, we calculate certain virtual divisor classes of small slope associated to linear serie…
Adic tropicalizations and cofinality of Gubler models
Tyler Foster, Sam Payne
We introduce adic tropicalizations for subschemes of toric varieties as limits of Gubler models associated to polyhedral covers of the ordinary tropicalization. Our main result sho…
Extensions of tautological rings and motivic structures in the cohomology of
Samir Canning, Hannah Larson, Sam Payne
We study collections of subrings of that are closed under the tautological operations that map cohomology classes on moduli spaces of smaller di…