On the factorization of three-dimensional terminal flops
Hsin-Ku Chen
TL;DR
This paper presents a method to decompose three-dimensional terminal flops into simpler geometric operations, enhancing understanding of their structure in algebraic geometry.
Contribution
It introduces a novel factorization approach for three-dimensional terminal flops into divisorial contractions and blow-ups, providing new insights into their composition.
Findings
Decomposition of terminal flops into divisorial contractions and blow-ups
Simplification of the structure of three-dimensional flops
Enhanced understanding of three-dimensional birational transformations
Abstract
We factorize three-dimensional terminal flops into a composition of divisorial contractions to points and blowing-up smooth curves.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Advanced Differential Equations and Dynamical Systems