Equivariant exceptional collections on smooth toric stacks

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Resumo

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.

Sobre autores

Lev Borisov

Rutgers, The State University of New Jersey, Department of Mathematics

Email: borisov@math.rutgers.edu

Dmitri 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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Declaração de direitos autorais © Borisov L.A., Orlov D.O., 2019

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