An approach of the Minimal Model Program for horospherical varieties via moment polytopes
نویسنده
چکیده
We describe the Minimal Model Program in the family of Q-Gorenstein projective horospherical varieties, by studying a family of polytopes defined from the moment polytope of a Cartier divisor of the variety we begin with. In particular, we generalize the results on MMP in toric varieties due to M. Reid, and we complete the results on MMP in spherical varieties due to M. Brion in the case of horospherical varieties. Mathematics Subject Classification. 14E30 14M25 52B20 14M17
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