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Toric Quasifolds

Published 1 May 2022 in math.SG, math.AG, math.CO, and math.DG | (2205.00430v2)

Abstract: Toric quasifolds are highly singular spaces that were first introduced in order to address, from the symplectic viewpoint, the longstanding open problem of extending the classical constructions of toric geometry to those simple convex polytopes that are not rational. We illustrate toric quasifolds, and their atlases, by describing some notable examples. We conclude with a number of considerations.

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