| dc.contributor.author | Tao, James | |
| dc.contributor.author | Zhao, Yifei | |
| dc.date.accessioned | 2021-10-12T18:50:14Z | |
| dc.date.available | 2021-10-12T18:50:14Z | |
| dc.date.issued | 2021-01 | |
| dc.date.submitted | 2020-12 | |
| dc.identifier.issn | 1432-1807 | |
| dc.identifier.issn | 0025-5831 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/132935 | |
| dc.description.abstract | Let X be a smooth, geometrically connected curve over a perfect field k. Given a connected, reductive group G, we prove that central extensions of G by the sheaf K2 on the big Zariski site of X, studied in Brylinski–Deligne [5], are equivalent to factorization line bundles on the Beilinson–Drinfeld affine Grassmannian GrG. Our result affirms a conjecture of Gaitsgory–Lysenko [13] and classifies factorization line bundles on GrG.
. | en_US |
| dc.publisher | Springer Berlin Heidelberg | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s00208-021-02154-1 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Springer Berlin Heidelberg | en_US |
| dc.title | Central extensions by K2 and factorization line bundles | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Tao, J., Zhao, Y. Central extensions by K2 and factorization line bundles. Math. Ann. 381, 769–805 (2021) | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| 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 | 2021-10-09T03:17:27Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2021-10-09T03:17:27Z | |
| mit.license | PUBLISHER_POLICY | |
| mit.metadata.status | Complete | en_US |
