41 citations · 122 across the 28 of their papers we have counts for
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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.NT2016
Diophantine and tropical geometry, and uniformity of rational points on curves
Eric Katz, Joseph Rabinoff, David Zureick-Brown
We describe recent work connecting combinatorics and tropical/non-Archimedean geometry to Diophantine geometry, particularly the uniformity conjectures for rational points on curve…