109 citations · 514 across the 38 of their papers we have counts for
4 papers · 1 filter
Riemann-Roch and Abel-Jacobi theory on a finite graph
Matthew Baker, Serguei Norine
It is well-known that a finite graph can be viewed, in many respects, as a discrete analogue of a Riemann surface. In this paper, we pursue this analogy further in the context of l…
Uncountable sets and an infinite real number game
Matthew Baker
We give a short proof of the well-known fact that the unit interval [0,1] is uncountable by means of a simple infinite game. We also show using this game that a (non-empty) perfect…
Uniform structures and Berkovich spaces
Matthew Baker
A uniform space is a topological space together with some additional structure which allows one to make sense of uniform properties such as completeness or uniform convergence. Mot…
A finiteness theorem for canonical heights attached to rational maps over function fields
Matthew Baker
Let K be a function field, let f be a rational function of degree d at least 2 defined over K, and suppose that f is not isotrivial. In this paper, we show that a point P in P^1(Kb…