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- W2205280805 abstract "Using the theory of jet schemes, we give a new approach to the description of a minimal generating sequence of a divisorial valuations on $textbf{A}^2.$ For this purpose, we show how one can recover the approximate roots of an analytically irreducible plane curve from the equations of its jet schemes. As an application, for a given divisorial valuation $v$ centered at the origin of $textbf{A}^2,$ we construct an algebraic embedding $textbf{A}^2hookrightarrow textbf{A}^N,Ngeq 2$ such that $v$ is the trace of a monomial valuation on $textbf{A}^N.$ We explain how results in this direction give a constructive approach to a conjecture of Teissier on resolution of singularities by one toric morphism." @default.
- W2205280805 created "2016-06-24" @default.
- W2205280805 creator A5007163939 @default.
- W2205280805 date "2015-11-12" @default.
- W2205280805 modified "2023-09-27" @default.
- W2205280805 title "Jet schemes and generating sequences of divisorial valuations in dimension two" @default.
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