Contact exponent and the Milnor number of plane curve singularities

Barroso, Evelia Rosa Garcia; Płoski, Arkadiusz

dc.contributor.author	Barroso, Evelia Rosa Garcia
dc.contributor.author	Płoski, Arkadiusz
dc.contributor.editor	Krasiński, Tadeusz
dc.contributor.editor	Spodzieja, Stanisław
dc.date.accessioned	2020-01-28T12:05:06Z
dc.date.available	2020-01-28T12:05:06Z
dc.date.issued	2019
dc.identifier.citation	García Barroso E. R., Płoski A., Contact exponent and the Milnor number of plane curve singularities, in: Analytic and Algebraic Geometry 3, T. Krasiński, S. Spodzieja (red.), WUŁ, Łódź 2019, doi: 10.18778/8142-814-9.08.	pl_PL
dc.identifier.uri	http://hdl.handle.net/11089/31339
dc.description.abstract	We investigate properties of the contact exponent (in the sense of Hironaka [Hi]) of plane algebroid curve singularities over algebraically closed fields of arbitrary characteristic. We prove that the contact exponent is an equisingularity invariant and give a new proof of the stability of the maximal contact. Then we prove a bound for the Milnor number and determine the equisingularity class of algebroid curves for which this bound is attained. We do not use the method of Newton's diagrams. Our tool is the logarithmic distance developed in [GB-P1].	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	Contact exponent and the Milnor number of plane curve singularities	pl_PL
dc.type	Book chapter	pl_PL
dc.page.number	93-109	pl_PL
dc.contributor.authorAffiliation	Departamento de Matematicas, Estadistica e I.O. Seccion de Matematicas, Universidad de La Laguna Apartado de Correos 456	pl_PL
dc.contributor.authorAffiliation	Department of Mathematics and Physics, Kielce University of Technology	pl_PL
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dc.contributor.authorEmail	ergarcia@ull.es	pl_PL
dc.contributor.authorEmail	matap@tu.kielce.pl	pl_PL