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An approach of the Minimal Model Program for horospherical varieties via moment polytopes

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 نشر من قبل Boris Pasquier
 تاريخ النشر 2012
  مجال البحث
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 تأليف Boris Pasquier




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We describe the Minimal Model Program in the family of $mathbb{Q}$-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.



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