The geometry of toric schemes
Algebraic Geometry
2013-02-11 v2 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.1207.0605,
title = {The geometry of toric schemes},
author = {Fred Rohrer},
journal= {arXiv preprint arXiv:1207.0605},
year = {2013}
}
Comments
to appear in J. Pure Appl. Algebra; corrected typos, updated references