Valuations in fields of power series

Details Valuations in fields of power series Valuations in fields of power series

2002-12-16

arxiv.org/abs/math/0212203v2

Mathematics

Commutative Algebra

14 pages. To appear in Rev. Mat. Iberoamericana

Scientific paper

This paper deals with valuations of fields of formal meromorphic functions and their residue fields. We explicitly describe the residue fields of the monomial valuations. We also classify all the discrete rank one valuations of fields of power series in two and three variables, according to their residue fields. We prove that all our cases are possible and give explicit constructions.

Affiliated with

Also associated with

No associations

Rating

Valuations in fields of power series does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Valuations in fields of power series, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Valuations in fields of power series will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-426804