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arXiv · 1207.0605

The geometry of toric schemes

Fred Rohrer
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Abstract

Geometric properties of schemes obtained by gluing algebras of monoids, including separation and finiteness properties, irreducibility, normality, catenarity, dimension, and Serre's properties (S_k) and (R_k), are investigated. This is used to show how the geometry of a toric scheme over an arbitrary base is influenced by the geometry of the base.

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Fred Rohrer. 2012-07-03. The geometry of toric schemes. https://doi.org/10.1016/j.jpaa.2012.08.001

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