A propos de la conjecture de Nash

Details A propos de la conjecture de Nash A propos de la conjecture de Nash

2003-01-30

arxiv.org/abs/math/0301358v1

Mathematics

Algebraic Geometry

15 pages, 8 figure. Prepublication du Laboratoire Emile Picard. See also http://picard.ups-tlse.fr

Scientific paper

This paper deals with the Nash problem, which claims that there are as many families of arcs on a singular germ of surface $U$ as there are essential components of the exceptional divisor in the desingularisation of this singularity. Let $\mathcal{H}=\bigcup \bar{N_\alpha}$ be a particular decomposition of the set of arcs on $U$, described later on. We give two new conditions to insure that $\bar{N_\alpha}\not \subset \bar{N_\beta}$, $\alpha \not = \beta$; more precisely,for the first one, we claim that if there exists $f \in {\mathcal{O}}_{U}$ such that $ord_{E_\alpha}(f)

Affiliated with

Also associated with

No associations

Rating

A propos de la conjecture de Nash 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 A propos de la conjecture de Nash, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A propos de la conjecture de Nash will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-335947