Equivariant exceptional collections on smooth toric stacks
- Authors: Borisov L.A.1, Orlov D.O.2
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Affiliations:
- Rutgers, The State University of New Jersey, Department of Mathematics
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 83, No 4 (2019)
- Pages: 50-85
- Section: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/133780
- DOI: https://doi.org/10.4213/im8830
- ID: 133780
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Abstract
We study the bounded derived categories of torus-equivariant coherent sheaveson smooth toric varieties and Deligne–Mumford stacks. We construct anddescribe full exceptional collections in these categories. We also observethat these categories depend only on the $\mathrm{PL}$-homeomorphism typeof the corresponding simplicial complex.
About the authors
Lev Anatol'evich Borisov
Rutgers, The State University of New Jersey, Department of Mathematics
Email: borisov@math.rutgers.edu
Dmitri Olegovich Orlov
Steklov Mathematical Institute of Russian Academy of Sciences
Email: orlov@mi-ras.ru
Doctor of physico-mathematical sciences, no status
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