Classification of normal toric surfaces resolved by a single Nash blowup
Amador Cruz-Fuentes
TL;DR
This paper classifies normal toric surfaces that can be resolved with one Nash blowup, using continued fractions to provide a complete characterization of such surfaces.
Contribution
It offers a complete classification of normal toric surfaces resolved by a single Nash blowup, linking the process to continued fractions.
Findings
Classification expressed via continued fractions
Complete characterization of surfaces resolved by one Nash blowup
Unified approach for normalized and non-normal Nash blowups
Abstract
We present a complete classification of normal toric surfaces that are resolved by a single normalized Nash blowup. Likewise, we obtain a complete classification of those resolved by a single Nash blowup. In both cases, the classification is expressed in terms of the continued fraction associated with the normal toric surface.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Polynomial and algebraic computation