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  Equivariant tilting modules, Pfaffian varieties and noncommutative matrix factorizations

Hirano, Y. (2021). Equivariant tilting modules, Pfaffian varieties and noncommutative matrix factorizations. Symmetry, Integrability and Geometry: Methods and Applications, 17: 55. doi:10.3842/SIGMA.2021.055.

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Hirano_Equivariant tilting modules, Pfaffian varieties and noncommutative matrix factorizations_2021.pdf (Publisher version), 539KB
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Hirano_Equivariant tilting modules, Pfaffian varieties and noncommutative matrix factorizations_2021.pdf
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The authors retain the copyright for their papers published in SIGMA under the terms of the Creative Commons Attribution-ShareAlike License .

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https://doi.org/10.3842/SIGMA.2021.055 (Publisher version)
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 Creators:
Hirano, Yuki1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry, Representation Theory
 Abstract: We show that equivariant tilting modules over equivariant algebras induce equivalences of derived factorization categories. As an application, we show that the derived category of a noncommutative resolution of a linear section of a Pfaffian variety is equivalent to the derived factorization category of a noncommutative gauged Landau-Ginzburg model $(\Lambda,\chi, w)^{\mathbb{G}_m}$,

where $\Lambda$ is a noncommutative resolution of the quotient singularity $W/\operatorname{GSp}(Q)$ arising from a certain representation $W$ of the symplectic similitude group $\operatorname{GSp}(Q)$ of a symplectic vector space $Q$.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Published online
 Pages: 43
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2009.12785
DOI: 10.3842/SIGMA.2021.055
 Degree: -

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Title: Symmetry, Integrability and Geometry: Methods and Applications
  Abbreviation : SIGMA
Source Genre: Journal
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Affiliations:
Publ. Info: Institute of Mathematics of National Academy of Sciences of Ukraine
Pages: - Volume / Issue: 17 Sequence Number: 55 Start / End Page: - Identifier: -