1 citations · 1 across the 3 of their papers we have counts for
5 papers
Newton-Okounkov bodies and Picard numbers on surfaces
Julio José Moyano-Fernández, Matthias Nickel, Joaquim Roé
We study the shapes of all Newton-Okounkov bodies of a given big divisor on a surface with respect to all rank 2 valuations of . We obtain upper bounds…
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…
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…
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 , defined by the surface and the exceptional divisor gi…
Algebraic volumes of divisors
Carsten Bornträger, Matthias Nickel
The volume of a Cartier divisor on a projective variety is a nonnegative real number that measures the asymptotic growth of sections of multiples of the divisor. It is known that t…