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Gorenstein spherical Fano varieties (2015)
Journal Article
Gagliardi, G., & Hofscheier, J. (2015). Gorenstein spherical Fano varieties. Geometriae Dedicata, 178(1), 111-133. https://doi.org/10.1007/s10711-015-0047-y

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 horospher... Read More about Gorenstein spherical Fano varieties.

Homogeneous spherical data of orbits in spherical embeddings (2015)
Journal Article
Gagliardi, G., & Hofscheier, J. (2015). Homogeneous spherical data of orbits in spherical embeddings. Transformation Groups, 20(1), 83-98. https://doi.org/10.1007/s00031-014-9297-2

Let G be a connected reductive complex algebraic group. Luna assigned to any spherical homogeneous space G/H a combinatorial object called a homogeneous spherical datum. By a theorem of Losev, this object uniquely determines G/H up to G-equivariant i... Read More about Homogeneous spherical data of orbits in spherical embeddings.