Johannes Hofscheier

Gorenstein spherical Fano varieties

We obtain a combinatorial description of Gorenstein spherical Fano varieties in terms of certain polytopes, generalizing the combinatorial description of Gorenstein toric Fano varieties by reflexive polytopes and its extension to Gorenstein horospherical Fano varieties due to Pasquier. Using this description, we show that the rank of the Picard group of an arbitrary

The generalized Mukai conjecture for symmetric varieties

d

Lattice polytopes, finite abelian subgroups in

d-dimensional

and coding theory

\mathbb {Q}

Smooth centrally symmetric polytopes in dimension 3 are IDP

Q-factorial Gorenstein spherical Fano variety is bounded by