Autoequivalences of toric surfaces
| dc.contributor.author | Broomhead, Nathan | |
| dc.contributor.author | Ploog, D | |
| dc.date.accessioned | 2016-10-28T14:28:54Z | |
| dc.date.available | 2016-10-28T14:28:54Z | |
| dc.date.issued | 2014-01-30 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.issn | 1088-6826 | |
| dc.identifier.other | 4 | |
| dc.identifier.uri | http://hdl.handle.net/10026.1/6663 | |
| dc.description | 12 pages, 6 figures; major changes: statements corrected and strengthened, new section about non-toric examples, to appear in Proc. AMS | |
| dc.description.abstract |
We show that the autoequivalence group of the derived category of any smooth projective toric surface is generated by the standard equivalences and spherical twists obtained from <inline-formula content-type="math/mathml"> <math alttext="negative 2"> <semantics> <mrow> <mo>−</mo> <mn>2</mn> </mrow> <annotation encoding="application/x-tex">-2</annotation> </semantics> </math> </inline-formula>-curves. In many cases we give all relations between these generators. We also prove a close link between spherical objects and certain pairs of exceptional objects. | |
| dc.format.extent | 1133-1146 | |
| dc.language | en | |
| dc.language.iso | en | |
| dc.publisher | American Mathematical Society (AMS) | |
| dc.subject | Toric surface | |
| dc.subject | derived category | |
| dc.subject | group of autoequivalences | |
| dc.subject | exceptional object | |
| dc.title | Autoequivalences of toric surfaces | |
| dc.type | journal-article | |
| dc.type | article | |
| plymouth.author-url | https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000332469100005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=11bb513d99f797142bcfeffcc58ea008 | |
| plymouth.issue | 4 | |
| plymouth.volume | 142 | |
| plymouth.publisher-url | http://dx.doi.org/10.1090/S0002-9939-2014-11530-9 | |
| plymouth.publication-status | Published online | |
| plymouth.journal | Proceedings of the American Mathematical Society | |
| dc.identifier.doi | 10.1090/S0002-9939-2014-11530-9 | |
| plymouth.organisational-group | /Plymouth | |
| plymouth.organisational-group | /Plymouth/Admin Group - REF | |
| plymouth.organisational-group | /Plymouth/Admin Group - REF/REF Admin Group - FoSE | |
| plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering | |
| plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering/School of Engineering, Computing and Mathematics | |
| plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA | |
| plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA/EXTENDED UoA 10 - Mathematical Sciences | |
| plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA/UoA10 Mathematical Sciences | |
| plymouth.organisational-group | /Plymouth/Users by role | |
| plymouth.organisational-group | /Plymouth/Users by role/Academics | |
| dcterms.dateAccepted | 2012-05-11 | |
| dc.identifier.eissn | 1088-6826 | |
| dc.rights.embargoperiod | Not known | |
| rioxxterms.versionofrecord | 10.1090/S0002-9939-2014-11530-9 | |
| rioxxterms.licenseref.uri | http://www.rioxx.net/licenses/all-rights-reserved | |
| rioxxterms.licenseref.startdate | 2014-01-30 | |
| rioxxterms.type | Journal Article/Review | |
| plymouth.oa-location | https://arxiv.org/pdf/1010.1717.pdf |