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Tilting objects in singularity categories of toric Gorenstein varieties
- Publication Year :
- 2021
-
Abstract
- We study certain toric Gorenstein varieties with isolated singularities which are the quotient spaces of generic unimodular representations by the one-dimensional torus, or by the product of the one-dimensional torus with a finite abelian group. Based on the works of \v{S}penko and Van den Bergh [Invent. Math. 210 (2017), no. 1, 3-67] and Mori and Ueyama [Adv. Math. 297 (2016), 54-92], we show that the singularity categories of these varieties admit tilting objects, and hence are triangle equivalent to the perfect categories of some finite dimensional algebras.<br />Comment: 30 pages. Revised and title changed
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2106.14161
- Document Type :
- Working Paper