The Log Minimal Model Program for Horospherical Varieties Via Moment Polytopes
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In a previous work, we described the Minimal Model Program in the family of ℚ-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, Δ) when X is a projective horospherical variety.
KeywordsLog minimal model program horospherical varieties moment polytopes
MR(2010) Subject Classification14E30 14M25 52B20 14M17
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The author would like to thank the referee for his wise comments that improved the quality of the paper.
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