The jump of Milnor numbers in families of non-degenerate and non-convenient singularities

Walewska, Justyna

dc.contributor.author	Walewska, Justyna
dc.contributor.editor	Krasiński, Tadeusz
dc.contributor.editor	Spodzieja, Stanisław
dc.date.accessioned	2017-12-13T10:53:58Z
dc.date.available	2017-12-13T10:53:58Z
dc.date.issued	2013
dc.identifier.citation	Walewska J., The jump of Milnor numbers in families of non-degenerate and non-convenient singularities , [in:] Krasiński T., Spodzieja S. (eds.), Analytic and Algebraic Geometry, Łódź University Press, Łódź 2013, s. 141-153, doi: 10.18778/7969-017-6.11	pl_PL
dc.identifier.isbn	978-83-7969-017-6
dc.identifier.uri	http://hdl.handle.net/11089/23612
dc.description.abstract	The non-degenerate jump of the Milnor number of an isolated singularity f0 is the minimal non-zero difference between the Milnor numbers of f0 and one of its non-degenerate deformations (fs). In the paper the results by Bodin and the author (concerning the non-degenerate jump) are generalized to non-convenient singularities.	pl_PL
dc.language.iso	en	pl_PL
dc.publisher	Wydawnictwo Uniwersytetu Łódzkiego	pl_PL
dc.relation.ispartof	Krasiński T., Spodzieja S. (eds.), Analytic and Algebraic Geometry, Łódź University Press, Łódź 2013;
dc.rights	Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/pl/	*
dc.title	The jump of Milnor numbers in families of non-degenerate and non-convenient singularities	pl_PL
dc.type	Book chapter	pl_PL
dc.rights.holder	© Copyright by University of Łódź, Łódź 2013	pl_PL
dc.page.number	141-153	pl_PL
dc.contributor.authorAffiliation	Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź	pl_PL
dc.references	A. Bodin, Jump of Milnor numbers, Bull. Braz. Math. Soc. Vol. 38 No. 3 (2007), 389-396.	pl_PL
dc.references	S. Brzostowski, T. Krasiński, The Jump of the Milnor Numbers in the X9 singularity class, Proceedings of the XXXIII Workshop of Analytic and Algebraic Geometry, (2012), http://konfrogi.math.uni.lodz.pl.	pl_PL
dc.references	S. Gusein-Zade, On singularities from which an A1 can be split off, Funct. Anal. Appl. 27 (1993), 57-59.	pl_PL
dc.references	G.-M Greuel, C. Lossen, E. Shustin, Introduction to singularities and deformations, Springer Monographs in Mathematics, Springer, Berlin, (2007).	pl_PL
dc.references	A. Kouchnirenko, Polyédres de Newton et nombres de Milnor, Invent. Math. 32 (1976), 1-31.	pl_PL
dc.references	A. Lenarcik, On the Łojasiewicz exponent of the gradient of the holomorphic function, Singularities, Banach Center Publ. Vol. 44 (1998), 149-166.	pl_PL
dc.references	] A. Lenarcik, On the Jacobian Newton polygon of plane curve singularities, Manuscripta Math. Vol. 125 No. 3 (2008), 309-324.	pl_PL
dc.references	A. Płoski, A. Lenarcik, E. Barroso, Characterization of non-degenerate plane curve singularities, Univ. Iagel. Acta Math. No. 45 (2007), 27-36.	pl_PL
dc.references	G. Oleksik, Łojasiewicz exponent of non-degenerate singularities, Proceedings of the XXX Workshop of Analytic and Algebraic Geometry, (2009), (in Polish), http://konfrogi.math.uni.lodz.pl.	pl_PL
dc.references	J. Walewska, The second jump of Milnor numbers, Demonstratio Math. Vol. XLIII No. 2 (2010), 361-374.	pl_PL
dc.contributor.authorEmail	walewska@math.uni.lodz.pl	pl_PL
dc.identifier.doi	10.18778/7969-017-6.11