A survey on the singularities of spherical varieties
EMS surveys in mathematical sciences, Volume 4 (2017) no. 1, pp. 1-19
See the original article notice from the EMS Press source
We list combinatorial criteria of some singularities, which appear in the Minimal Model Program or in the study of (singular) Fano varieties, for spherical varieties. Most of the results of this paper are already known or are quite easy corollary of known results. We collect these results, we precise some proofs and add few results to get a coherent and complete survey.
Classification:
14-XX
Keywords: Spherical varieties, singularities, minimal model program
Keywords: Spherical varieties, singularities, minimal model program
Author's affiliations:
Boris Pasquier  1
Boris Pasquier. A survey on the singularities of spherical varieties. EMS surveys in mathematical sciences, Volume 4 (2017) no. 1, pp. 1-19. doi: 10.4171/emss/4-1-1
@article{10_4171_emss_4_1_1,
author = {Boris Pasquier},
title = {A survey on the singularities of spherical varieties},
journal = {EMS surveys in mathematical sciences},
pages = {1--19},
year = {2017},
volume = {4},
number = {1},
doi = {10.4171/emss/4-1-1},
url = {http://geodesic.mathdoc.fr/articles/10.4171/emss/4-1-1/}
}
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