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math.AC2019
The norm of the saturation of a binomial ideal, and applications to Markov bases
David Holmes
Given a pure binomial ideal I in variables x_i, we define a new measure of the complexity of the saturation of I with respect to the product of the variables x_i, which we call the…
math.AG2019
Fields of definition of curves of a given degree
David Holmes, Nick Rome
Kontsevich and Manin gave a formula for the number of rational plane curves of degree through points in general position in the plane. When these points hav…