On locally factorial Fano fourfolds of Picard number two
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.AG↗
arXiv subjects
Andreas Bäuerle
Publications and source records attributed to Andreas Bäuerle.
Sharp volume and multiplicity bounds for Fano simplices
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 between lattice simplices and unit fraction partitions. Moreover, we present an efficient procedure for explicitly classifying Fano simplicies of any dimension and Gorenstein index and we carry out the classification up to dimension four for various Gorenstein indices.
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On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus
We classify the non-toric, $\mathbb Q$-factorial, Gorenstein, log terminal Fano threefolds of Picard number one that admit an effective action of a two-dimensional algebraic torus.
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Sharp degree bounds for fake weighted projective spaces
We give sharp upper bounds on the anticanonical degree of fake weighted projective spaces, only depending on the dimension and the Gorenstein index.
math.AG↗