| dc.contributor.author | Alper, Jarod | |
| dc.contributor.author | Blum, Harold | |
| dc.contributor.author | Halpern-Leistner, Daniel | |
| dc.contributor.author | Xu, Chenyang | |
| dc.date.accessioned | 2020-11-12T21:48:38Z | |
| dc.date.available | 2020-11-12T21:48:38Z | |
| dc.date.issued | 2020-07 | |
| dc.date.submitted | 2019-06 | |
| dc.identifier.issn | 0020-9910 | |
| dc.identifier.issn | 1432-1297 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/128467 | |
| dc.description.abstract | We prove that K-polystable log Fano pairs have reductive automorphism groups. In fact, we deduce this statement by establishing more general results concerning the S-completeness and Θ-reductivity of the moduli of K-semistable log Fano pairs. Assuming the conjecture that K-semistability is an open condition, we prove that the Artin stack parametrizing K-semistable Fano varieties admits a separated good moduli space. | en_US |
| dc.description.sponsorship | NSF (Grants DMS-1440140, 11425101, DMS-1901849) | en_US |
| dc.publisher | Springer Berlin Heidelberg | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s00222-020-00987-2 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | Springer Berlin Heidelberg | en_US |
| dc.title | Reductivity of the automorphism group of K-polystable Fano varieties | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Alper, Jarod et al. "Reductivity of the automorphism group of K-polystable Fano varieties." Inventiones mathematicae 220 (July 2020): 995–1032 © 2020 Springer-Verlag | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | Inventiones mathematicae | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2020-10-30T04:34:37Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer-Verlag GmbH Germany, part of Springer Nature | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2020-10-30T04:34:37Z | |
| mit.journal.volume | 220 | en_US |
| mit.license | OPEN_ACCESS_POLICY | |
| mit.metadata.status | Complete | |
