Matthias Nickel

activity

20172020

collaborators

3 papers

math.NT2020

Local positivity and effective Diophantine approximation

Matthias Nickel

In this paper we present a new approach to prove effective results in Diophantine approximation. We then use it to prove an effective theorem on the simultaneous approximation of t…

math.AG2019

Bounded volume denominators and bounded negativity

Thomas Bauer, Brian Harbourne, Alex Küronya +1

In this paper we study the question of whether on smooth projective surfaces the denominators in the volumes of big line bundles are bounded. In particular we investigate how this…

math.AG2017

Newton-Okounkov bodies of exceptional curve valuations

Carlos Galindo, Francisco Monserrat, Julio José Moyano-Fernández +1

We prove that the Newton-Okounkov body of the flag $E_{∙} := {X = X_{r} \supset E_{r} \supset {q}}$ , defined by the surface $X$ and the exceptional divisor $E_{r}$ gi…