Article ID Journal Published Year Pages File Type
4596839 Journal of Pure and Applied Algebra 2013 9 Pages PDF
Abstract

Geometric properties of schemes obtained by gluing algebras of monoids, including separation and finiteness properties, irreducibility, normality, catenarity, dimension, and Serre’s properties (Sk) and (Rk), 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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory