The Log Minimal Model Program for horospherical varieties via moment polytopes

Boris Pasquier (1)

1 IMAG - Institut Montpelliérain Alexander Grothendieck

In [Pas15], we described the Minimal Model Program in the family of Q-Gorenstein pro-jective horospherical varieties, by studying a family of polytopes defined from the moment polytope of an ample Q-Cartier Q-divisor of the variety we begin with. Here, we summarize the results of [Pas15] and we explain how to generalize them in order to describe the Log Minimal Model Program for pairs (X, ∆) where X is a projective horospherical G-variety and ∆ is a B-stable Q-divisor (where G is a connected reductive algebraic group and B a Borel subgroup of G).

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

Domaines: Géométrie algébrique [math.AG]

Boris Pasquier. The Log Minimal Model Program for horospherical varieties via moment polytopes. 2016. ⟨hal-01414188v1⟩