99 citations · 245 across the 27 of their papers we have counts for
39 papers
Seshadri constants on abelian and bielliptic surfaces -- potential values and lower bounds
Thomas Bauer, Łucja Farnik
In this note we contribute to the study of Seshadri constants on abelian and bielliptic surfaces. We specifically focus on bounds that hold on all such surfaces, depending only on…
Seshadri constants on principally polarized abelian surfaces with real multiplication
Thomas Bauer, Maximilian Schmidt
Seshadri constants on abelian surfaces are fully understood in the case of Picard number one. Little is known so far for simple abelian surfaces of higher Picard number. In this pa…
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…
Counting lines on projective surfaces
Thomas Bauer, Slawomir Rams
We prove a bound on the number of lines on a smooth degree-d surface in three-dimensional projective space for . This bound improves a bound due to Segre and renders some…
On the integrality of Seshadri constants of abelian surfaces
Thomas Bauer, Felix Fritz Grimm, Maximilian Schmidt
In this paper we consider the question of when Seshadri constants on abelian surfaces are integers. Our first result concerns self-products of elliptic curves: If h…
Quartic unexpected curves and surfaces
Thomas Bauer, Grzegorz Malara, Tomasz Szemberg +1
Our research is motivated by recent work of Cook II, Harbourne, Migliore, and Nagel on configurations of points in the projective plane with properties that are unexpected from the…