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A filtration defined by arcs on a variety

Wolfgang Ebeling, Sabir M. Gusein-Zade

math.AGarXiv:math/0303331

Abstract

We define a natural filtration on the ring OV,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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