Toroidalization of generating sequences in dimension two function fields
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- 作者：Laura Ghezzi ; Huy Tà ; i Hà ; and Olga Kashcheyeva
- 刊名：Journal of Algebra
- 出版年：2006
- 出版时间：15 July 2006
- 年：2006
- 卷：301
- 期：2
- 页码：838-866
- 全文大小：264 K
文摘
Let k be an algebraically closed field of characteristic 0, and let K/K be a finite extension of algebraic function fields of transcendence degree 2 over k. Let ν be a k-valuation of K with valuation ring V, and let ν be the restriction of ν to K. Suppose that R→S is an extension of algebraic regular local rings with quotient fields K and K respectively, such that V dominates S and S dominates R. We prove that there exist sequences of quadratic transforms and along ν such that dominates and the map between generating sequences of ν and ν has a toroidal structure. Our result extends the Strong Monomialization theorem of Cutkosky and Piltant.
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