Equivariant Tilting Modules, Pfaffian Varieties and Noncommutative Matrix Factorizations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Author: Hirano, Yuki
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211294
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Equivariant Tilting Modules, Pfaffian Varieties and Noncommutative Matrix Factorizations. Yuki Hirano. SIGMA 17 (2021), 055, 43 pages

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 categor...