Valuations in Algebraic Geometry

Authors

Laura Ghezzi, University of Missouri, Open Search Candidate

Document Type

Presentation Abstract

Presentation Date

2-12-2004

Abstract

Let k be a field of characteristic zero, K an algebraic function field over k, and V a k-valuation ring of K. Zariski's theorem of local uniformization shows that there exist algebraic regular local rings R_i with quotient field K which are dominated by V, and such that the direct limit ∪R_i=V.

After giving the necessary background and definitions we discuss generalizations of Zariski's theorem and we give examples of valuations that arise naturally in Algebraic Geometry.

Additional Details

Thursday, 12 February 2004
4:10 p.m. in CP 109

Recommended Citation

Ghezzi, Laura, "Valuations in Algebraic Geometry" (2004). Colloquia of the Department of Mathematical Sciences. 157.
https://scholarworks.umt.edu/mathcolloquia/157