Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/40318
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dc.contributor.authorFavero, David-
dc.contributor.authorKAPLAN, Daniel-
dc.contributor.authorKelly, Tyler L.-
dc.date.accessioned2023-06-06T07:56:13Z-
dc.date.available2023-06-06T07:56:13Z-
dc.date.issued2023-
dc.date.submitted2023-06-02T13:58:25Z-
dc.identifier.citationMATHEMATISCHE ZEITSCHRIFT, 304 (2) (Art N° 32)-
dc.identifier.urihttp://hdl.handle.net/1942/40318-
dc.description.abstractWe prove the existence of a full exceptional collection for the derived category of equivariant matrix factorizations of an invertible polynomial with its maximal symmetry group. This proves a conjecture of Hirano-Ouchi. In the Gorenstein case, we also prove a stronger version of this conjecture due to Takahashi. Namely, that the full exceptional collection is strong.-
dc.description.sponsorshipThis project was initiated while the three authors visited the Fields Institute during the Thematic Program on the Homological Algebra of Mirror Symmetry. We would like to thank the Fields Institute for providing this opportunity, their hospitality, excellent atmosphere, and superb afternoon tea. The original version of this paper mistakenly claimed to provide a counterexample to Conjecture 1.3 of version 2 of the preprint [26]. We humbly thank Kazushi Ueda for immediately recognizing this issue and informing us of our blunder. This subject has since been delegated to the paper [9] where a true counterexample is given. We are also grateful to Ailsa Keating, Yanki Lekili, and Atsushi Takahashi for their conversations, comments and suggestions. We lastly thank the referee for their useful comments. The first-named author is grateful to the Natural Sciences and Engineering Research Council of Canada for support provided by a Canada Research Chair and Discovery Grant. The second-named author is thankful for support by the Engineering and Physical Sciences Research Council (EPSRC) under Grant EP/S03062X/1. The third-named author acknowledges that this paper is based upon work supported by the EPSRC under Grant EP/N004922/2 and EP/S03062X/1, along with the Birmingham International Engagement Fund.-
dc.language.isoen-
dc.publisherSPRINGER HEIDELBERG-
dc.rightsThe Author(s) 2023. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/-
dc.titleExceptional collections for mirrors of invertible polynomials-
dc.typeJournal Contribution-
dc.identifier.issue2-
dc.identifier.volume304-
local.bibliographicCitation.jcatA1-
dc.description.notesKelly, TL (corresponding author), Univ Birmingham, Sch Math, Birmingham B15 2TT, England.-
dc.description.notesfavero@umn.edu; daniel.kaplan@uhasselt.be; t.kelly.1@bham.ac.uk-
local.publisher.placeTIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY-
local.type.refereedRefereed-
local.type.specifiedArticle-
local.bibliographicCitation.artnr32-
dc.identifier.doi10.1007/s00209-023-03258-x-
dc.identifier.isi000990300700001-
local.provider.typewosris-
local.description.affiliation[Favero, David] Univ Minnesota, 454 Vincent Hall,206 Church St SE, Minneapolis, MN 55455 USA.-
local.description.affiliation[Favero, David] Korea Inst Adv Study, 85 Hoegiro, Seoul 02455, South Korea.-
local.description.affiliation[Kaplan, Daniel] Univ Hasselt, Univ Campus, B-3590 Diepenbeek, Belgium.-
local.description.affiliation[Kelly, Tyler L.] Univ Birmingham, Sch Math, Birmingham B15 2TT, England.-
local.uhasselt.internationalyes-
item.fullcitationFavero, David; KAPLAN, Daniel & Kelly, Tyler L. (2023) Exceptional collections for mirrors of invertible polynomials. In: MATHEMATISCHE ZEITSCHRIFT, 304 (2) (Art N° 32).-
item.fulltextWith Fulltext-
item.accessRightsOpen Access-
item.contributorFavero, David-
item.contributorKAPLAN, Daniel-
item.contributorKelly, Tyler L.-
crisitem.journal.issn0025-5874-
crisitem.journal.eissn1432-1823-
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