Geodesic
Equivariant exceptional collections on smooth toric stacks
Izvestiya. Mathematics , Tome 83 (2019) no. 4, pp. 698-730

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We study the bounded derived categories of torus-equivariant coherent sheaves on smooth toric varieties and Deligne–Mumford stacks. We construct and describe full exceptional collections in these categories. We also observe that these categories depend only on the $\mathrm{PL}$-homeomorphism type of the corresponding simplicial complex.
Keywords: toric varieties and stacks, equivariant coherent sheaves, derived categories, simplicial complexes.
Mots-clés : exceptional collections 
@article{IM2_2019_83_4_a3,
     author = {L. A. Borisov and D. O. Orlov},
     title = {Equivariant exceptional collections on smooth toric stacks},
     journal = {Izvestiya. Mathematics },
     pages = {698--730},
     publisher = {mathdoc},
     volume = {83},
     number = {4},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2019_83_4_a3/}
}
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L. A. Borisov; D. O. Orlov. Equivariant exceptional collections on smooth toric stacks. Izvestiya. Mathematics , Tome 83 (2019) no. 4, pp. 698-730. http://geodesic.mathdoc.fr/item/IM2_2019_83_4_a3/