Jet schemes, arc spaces and the Nash problem
C. R. Math. Rep. Acad. Sci. Canada Vol. 29 (1) 2007, pp. 1–21
March 30, 2007
Shihoko Ishii, Department of Mathematics, Tokyo Institute of Technology, Oh-Okayama, Meguro, Tokyo, Japan; email: shihoko@math.titech.ac.jp
Abstract/Résumé:
This paper is an introduction to the jet schemes and the arc space of an algebraic variety. We also introduce the Nash problem on arc families.
Ce papier constitue une introduction aux espaces de jets et à l’espace d’arcs d’une variété algébrique. Nous introduisons également le problème de Nash pour les familles d’arcs.
Keywords: Nash problem, arc space, jet scheme
AMS Subject Classification: Formal methods; deformations 14D15
PDF(click to download):
Jet schemes, arc spaces and the Nash problem
AMS Subject Classification: Formal methods; deformations 14D15
[This journal is open access except for the current year and the preceding 5 years]