A filtration defined by arcs on a variety

2003/03/26 by Wolfgang Ebeling, Ebeling, Wolfgang, Sabir M. Gusein-Zade +1
Mathematics · #14B05 #32S10 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14B05 #msc:32S10

paper · pdf · doi:10.48550/arxiv.math/0303331

arxiv created 2003/03/27 · arxiv updated 2009/11/30

Abstract

We define a natural filtration on the ring \cal O_V,0 of germs of functions on a germ of a complex analytic variety (V,0) related with the geometry of arcs on the variety and describe some properties of it.

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