3 papers
math.AG2024
On locally factorial Fano fourfolds of Picard number two
Andreas Bäuerle, Christian Mauz
We classify the locally factorial Fano fourfolds of Picard number two with a hypersurface Cox ring that admit an effective action of a three-dimensional torus.
math.CO2023
Sharp volume and multiplicity bounds for Fano simplices
Andreas Bäuerle
We present sharp upper bounds on the volume, Mahler volume and multiplicity for Fano simplices depending on the dimension and Gorenstein index. These bounds rely on the interplay b…
math.AG2022
Sharp degree bounds for fake weighted projective spaces
Andreas Bäuerle
We give sharp upper bounds on the anticanonical degree of fake weighted projective spaces, only depending on the dimension and the Gorenstein index.