Equivariant Tilting Modules, Pfaffian Varieties and Noncommutative Matrix Factorizations

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2021
• Автор: Hirano, Yuki
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2021
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211294
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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...