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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…
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…