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Abstract: We give a new description of the data needed to specify a morphism from ascheme to a toric Deligne-Mumford stack. The description is given in terms of acollection of line bundles and sections which satisfy certain conditions. Asapplications, we characterize any toric Deligne-Mumford stack as a product ofroots of line bundles over the rigidified stack, describe the torus action,describe morphisms between toric Deligne-Mumford stacks with complete coarsemoduli spaces in terms of homogeneous polynomials, and compare two differentdefinitions of toric stacks.



Autor: Fabio Perroni

Fuente: https://arxiv.org/







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