Mike Roth

activity

20002025

most citedSeshadri constants, Diophantine approximation, and Roth's Theorem for arbitrary varieties

57 citations · 127 across the 15 of their papers we have counts for

collaborators

18 papers

math.AG2025

Reduced Čech complexes and computing higher direct images under toric maps

Mike Roth, Sasha Zotine

This paper has three main goals : (1) To give an axiomatic formulation of the construction of "reduced Čech complexes", complexes using fewer than the usual number of intersections…

math.AG2025

Homeomorphism type of the non-negative part of a complete toric variety

Mike Roth

In this note we show that the nonnegative part of a proper complex toric variety has the homeomorphism type of a sphere, and consequently that the nonnegative part has a natural st…

math.AG2024

Seshadri constants on $P^{1} \times P^{1}$ , and applications to the symplectic packing problem

Chris Dionne, Mike Roth

In this paper we compute the $r$ -point Seshadri constant on $P^{1} \times P^{1}$ for those line bundles where the answer might be expected to be governed by $(- 1)$ -curv…

math.AG2020

Codimension two integral points on some rationally connected threefolds are potentially dense

David McKinnon, Mike Roth

Let $V$ be a smooth, projective, rationally connected variety, defined over a number field $k$ , and let $Z \subset V$ be a closed subset of codimension at least two. In this paper,…

math.AG2017

Intersection multiplicity one for classical groups

Ivan Dimitrov, Mike Roth

In this paper we show that when $G$ is a classical semi-simple algebraic group, $B \subset G$ a Borel subgroup, and $X = G / B$ , t…

math.RT2017

Positive Systems of Kostant Roots