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A filtration defined by arcs on a variety

Wolfgang Ebeling·Sabir M. Gusein-Zade
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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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Wolfgang Ebeling, Sabir M. Gusein-Zade. 2003-03-27. A filtration defined by arcs on a variety. https://arxiv.org/abs/math/0303331

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