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http://hdl.handle.net/1942/40318| Title: | Exceptional collections for mirrors of invertible polynomials | Authors: | Favero, David KAPLAN, Daniel Kelly, Tyler L. |
Issue Date: | 2023 | Publisher: | SPRINGER HEIDELBERG | Source: | MATHEMATISCHE ZEITSCHRIFT, 304 (2) (Art N° 32) | Abstract: | We 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. | Notes: | Kelly, TL (corresponding author), Univ Birmingham, Sch Math, Birmingham B15 2TT, England. favero@umn.edu; daniel.kaplan@uhasselt.be; t.kelly.1@bham.ac.uk |
Document URI: | http://hdl.handle.net/1942/40318 | ISSN: | 0025-5874 | e-ISSN: | 1432-1823 | DOI: | 10.1007/s00209-023-03258-x | ISI #: | 000990300700001 | Rights: | The 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/ | Category: | A1 | Type: | Journal Contribution |
| Appears in Collections: | Research publications |
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| Exceptional collections for mirrors of invertible polynomials.pdf | Published version | 275.8 kB | Adobe PDF | View/Open |
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