15 citations · 37 across the 16 of their papers we have counts for
19 papers
Local rigidity of projective smooth horospherical varieties of Picard number two
Boris Pasquier, Léa Villeneuve
We study the local rigidity of projective smooth horospherical varieties of rank one and Picard number two. These varieties have been already considered by the second author in a w…
A description of the sarkisov program of horospherical varieties via moment polytopes
Enrica Floris, Boris Pasquier
Let X and Y be horospherical Mori fibre spaces which are birational equivariantly with respect to the group action. Then, there is a horospherical Sarkisov program from X/S to Y /T…
Horospherical two-orbit varieties as zero loci
Boris Pasquier, Laurent Manivel
We present geometric realizations of horospherical two-orbit varieties, by showing that their blow-up along the unique closed-invariant orbit is the zero locus of a general section…
Smooth projective horospherical varieties of Picard group
Boris Pasquier
We classify all smooth projective horospherical varieties of Picard group and we give a first description of their geometry via the Log Minimal Model Program.
The Log Minimal Model Program for horospherical varieties via moment polytopes
Boris Pasquier
In a previous work, we described the Minimal Model Program in the family of $\Qbb$-Gorenstein projective horospherical varieties, by studying certain continuous changes of moment p…
A survey on the singularities of spherical varieties
Boris Pasquier
We list combinatorial criteria of some singularities, which appear in the Minimal Model Program or in the study of (singular) Fano varieties, for spherical varieties. Most of the r…