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arXiv · 1205.6861

Frobenius morphisms and derived categories on two dimensional toric Deligne-Mumford stacks

Ryo Ohkawa·Hokuto Uehara
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Abstract

For a toric Deligne-Mumford (DM) stack, we can consider a certain generalization of the Frobenius endomorphism. For such an endomorphism on a two-dimensional toric DM stack, we show that the push-forward of the structure sheaf generates the bounded derived category of coherent sheaves on the toric DM stack. We also choose a full strong exceptional collection from the set of direct summands of the push-forward in several examples of two dimensional toric DM orbifolds.

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Ryo Ohkawa, Hokuto Uehara. 2013-06-15. Frobenius morphisms and derived categories on two dimensional toric Deligne-Mumford stacks. https://arxiv.org/abs/1205.6861

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