On the conjecture of King for smooth toric Deligne-Mumford stacks

Details On the conjecture of King for smooth toric Deligne-Mumford stacks On the conjecture of King for smooth toric Deligne-Mumford stacks

2008-01-18

arxiv.org/abs/0801.2812v4

Mathematics

Algebraic Geometry

28 pages, 7 figures; results strengthened to include arbitrary del Pezzo toric stacks

Scientific paper

We construct full strong exceptional collections of line bundles on smooth
toric Fano Deligne-Mumford stacks of Picard number at most two and of any
Picard number in dimension two. It is hoped that the approach of this paper
will eventually lead to the proof of the existence of such collections on all
smooth toric nef-Fano Deligne-Mumford stacks.

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