A note on the Łojasiewicz exponent of non-degenerate isolated hypersurface singularities

Brzostowski, Szymon

dc.contributor.author	Brzostowski, Szymon
dc.contributor.editor	Krasiński, Tadeusz
dc.contributor.editor	Spodzieja, Stanisław
dc.date.accessioned	2020-01-24T07:35:14Z
dc.date.available	2020-01-24T07:35:14Z
dc.date.issued	2019
dc.identifier.citation	Brzostowski S., A note on the Łojasiewicz exponent of non-degenerate isolated hypersurface singularities, in: Analytic and Algebraic Geometry 3, T. Krasiński, S. Spodzieja (red.), WUŁ, Łódź 2019, doi: 10.18778/8142-814-9.04.	pl_PL
dc.identifier.isbn	978-83-8142-814-9
dc.identifier.uri	http://hdl.handle.net/11089/31257
dc.description.abstract	We prove that in order to find the value of the Łojasiewicz exponent ł(f) of a Kouchnirenko non-degenerate holomorphic function f : (Cn; 0) → (C; 0) with an isolated singular point at the origin, it is enough to find this value for any other (possibly simpler) function g : (Cn; 0) → (C; 0), provided this function is also Kouchnirenko non-degenerate and has the same Newton diagram as f does. We also state a more general problem, and then reduce it to a Teissier-like result on (c)-cosecant deformations, for formal power series with coefficients in an algebraically closed field K.	pl_PL
dc.language.iso	en	pl_PL
dc.publisher	Wydawnictwo Uniwersytetu Łódzkiego	pl_PL
dc.relation.ispartof	Analytic and Algebraic Geometry 3;
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Międzynarodowe	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.title	A note on the Łojasiewicz exponent of non-degenerate isolated hypersurface singularities	pl_PL
dc.type	Book chapter	pl_PL
dc.page.number	27-40	pl_PL
dc.contributor.authorAffiliation	Uniwersytet Łódzki, Wydział Matematyki i Informatyki	pl_PL
dc.identifier.eisbn	978-83-8142-815-6
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dc.identifier.doi	10.18778/8142-814-9.04