Higher order approximation of analytic sets by topologically equivalent algebraic sets

Autor:	Bilski, Marcin, Kurdyka, Krzysztof, Parusinski, Adam, Rond, Guillaume
Rok vydání:	2016
Předmět:	Mathematics - Complex Variables 32S05 32S15 13B40
Druh dokumentu:	Working Paper
Popis:	It is known that every germ of an analytic set is homeomorphic to the germ of an algebraic set. In this paper we show that the homeomorphism can be chosen in such a way that the analytic and algebraic germs are tangent with any prescribed order of tangency. Moreover, the space of arcs contained in the algebraic germ approximates the space of arcs contained in the analytic one, in the sense that they are identical up to a prescribed truncation order. Comment: 15 pages, to appear in Math. Z
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1602.06933 Zobrazit plný text záznamu View this record from Arxiv