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arXiv · 1407.2629

Torification of diagonalizable group actions on toroidal schemes

Dan Abramovich·Michael Temkin
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Abstract

We study actions of diagonalizable groups on toroidal schemes (i.e. logarithmically regular logarithmic schemes). In particular, we show that for so-called toroidal actions the quotient is again a toroidal scheme. Our main result constructs for an arbitrary action a canonical torification - making the action toridal after an equivariant blowings up. This extends earlier results of Abramovich-de Jong, Abramovich-Karu-Matsuki-W{\l}odarczyk, and Gabber in various aspects.

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Dan Abramovich, Michael Temkin. 2014-07-09. Torification of diagonalizable group actions on toroidal schemes. https://arxiv.org/abs/1407.2629

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