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.
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arXiv subjects
Christian Mauz
Publications and source records attributed to Christian Mauz.
On smooth Calabi-Yau threefolds of Picard number two
We classify all smooth Calabi-Yau threefolds of Picard number two that have a general hypersurface Cox ring.
math.AG↗
On smooth Fano fourfolds of Picard number two
We classify the smooth Fano 4-folds of Picard number two that have a general hypersurface Cox ring.
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The anticanonical complex for non-degenerate toric complete intersections
The anticanonical complex generalizes the Fano polytope from toric geometry and has been used to study Fano varieties with torus action so far. We work out the case of complete intersections in toric varieties defined by non-degenerate systems of Laurent polynomials. As an application, we classify the terminal Fano threefolds that are embedded into a fake weighted projective space via a general system of Laurent polynomials.
math.AG↗