Resolution of embedded toric Λ-schemes

2025/07/08 by Machida, Kai
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2507.05592

Abstract

A key example in Borger's theory of Λ-structure is toric Λ-structure. We prove a resolution of singularities result for embedded toric Λ-schemes by applying an algorithm of Bierstone and Milman for toric varieties over perfect fields. This paper is based on work from the author's PhD thesis.

Citations

• Toric varieties, monoid schemes and cdh descent
• Lambda-rings and the field with one element
• Desingularization of toric and binomial varieties
• Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant

Related

• Toric singularities revisited
• Desingularization of toric and binomial varieties
• Comments on toric varieties
• Logarithmic geometry, minimal free resolutions and toric algebraic stacks
• Notes on toric varieties