The Log Minimal Model Program for Horospherical Varieties Via Moment Polytopes  

作　　者：Boris PASQUIER 

机构地区：[1]Institut Montpelliérain Alexander Grothendieck, CNRS, Univ. Montpellier [2]Laboratoire de Mathématiques et Applications, CNRS, Université de Poitiers

出　　处：《Acta Mathematica Sinica,English Series》2018年第3期542-562,共21页数学学报（英文版）

摘　　要：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.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.

关 键 词：Log minimal model program horospherical varieties moment polytopes 

分 类 号：O[理学]