The Log Minimal Model Program for horospherical varieties via moment polytopes

Boris Pasquier (1)

1 LMA [Poitiers] - Laboratoire de mathématiques et applications [UMR 7348]

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 polytopes of polarized horospherical varieties. Here, we summarize the results of the previous work and we explain how to generalize them in order to describe the Log Minimal Model Program for pairs $(X,\D)$ when $X$ is a projective horospherical variety.

Mots clés: Log Minimal Model Program; Moment polytopes; Horospherical varieties

Domaines: Géométrie algébrique [math.AG]

Boris Pasquier. The Log Minimal Model Program for horospherical varieties via moment polytopes. Acta Mathematica Sinica English Series, 2018, ⟨10.1007/s10114-017-6558-8⟩. ⟨hal-01414188v2⟩