5 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AG2016
Newton-Okounkov Bodies over Discrete Valuation Rings and Linear Systems on Graphs
Eric Katz, Stefano Urbinati
The theory of Newton-Okounkov bodies attaches a convex body to a line bundle on a variety equipped with flag of subvarieties. This convex body encodes the asymptotic properties of…
math.AG2014★ 5 cited
Matroid theory for algebraic geometers
Eric Katz
This article is a survey of matroid theory aimed at algebraic geometers. Matroids are combinatorial abstractions of linear subspaces and hyperplane arrangements. Not all matroids c…
math.NT2012
The Chabauty-Coleman bound at a prime of bad reduction and clifford bounds for geometric rank functions
Eric Katz, David Zureick-Brown
Let X be a curve over a number field K with genus g>=2, $\pp$ a prime of O_K over an unramified rational prime p>2r, J the Jacobian of X, r=rank J(K), and $\scrX$ a regular proper…