The geometry of toric schemes
classification
🧮 math.AG
math.AC
keywords
geometrypropertiesbaseschemestoricalgebrasarbitrarycatenarity
read the original 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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