A Stronger Local Monomialization Theorem
Steven Dale Cutkosky
TL;DR
This paper extends local monomialization theorems for morphisms of varieties, providing stronger local conditions and discussing potential applications of these improved results.
Contribution
It introduces a stronger local monomialization theorem that enhances previous results and explores its implications.
Findings
Established a stronger local monomialization theorem.
Provided conditions under which the monomialization satisfies improved local properties.
Discussed potential applications of the new monomialization results.
Abstract
We derive extensions of the monomialization theorems for morphisms of varieties in our earlier work. In this note we show that a local monomialization can be found which satisfies stronger local conditions. Some comments are made about how the results of this paper can be used.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology