dc.contributor.author | Oleksik, Grzegorz | |
dc.contributor.editor | Krasiński, Tadeusz | |
dc.contributor.editor | Spodzieja, Stanisław | |
dc.date.accessioned | 2017-12-13T10:44:33Z | |
dc.date.available | 2017-12-13T10:44:33Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Oleksik G., On combinatorial criteria for isolated singularities, [in:] Krasiński T., Spodzieja S. (eds.), Analytic and Algebraic Geometry, Łódź University Press, Łódź 2013, s. 81-94, doi: 10.18778/7969-017-6.07 | pl_PL |
dc.identifier.isbn | 978-83-7969-017-6 | |
dc.identifier.uri | http://hdl.handle.net/11089/23611 | |
dc.description.abstract | In this article we review combinatorial characterizations of isolated
singularities. As a new result in two and three-dimensional case we give
sufficient and necessary conditions for a nondegenerate singularity to be isolated
in terms of its support. We also prove new sufficient conditions in the
multidimensional case. | 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 | On combinatorial criteria for isolated singularities | pl_PL |
dc.type | Book chapter | pl_PL |
dc.rights.holder | © Copyright by University of Łódź, Łódź 2013 | pl_PL |
dc.page.number | 81-94 | pl_PL |
dc.contributor.authorAffiliation | Faculty of Mathematics and Computer Science, University of Łódź Banacha 22, 90-238 Łódź | pl_PL |
dc.references | Arnold, V. I.: Normal forms of functions in neighborhoods of degenerate critical points. Russian Math. Surveys 29 (1974), 10-50. | pl_PL |
dc.references | Arnold, V. I., Gusein-Zade S. M., Varchenko A. N.: Singularities of Differentiable Maps. Vol. 1, Monographs Math., Vol. 82, Birkhäuser, Boston 1985. | pl_PL |
dc.references | Brzostowski S., Krasinski, T. and Oleksik, G.: A conjecture on the Łojasiewicz exponent, J. Singul. 6 (2012), 124-130. | pl_PL |
dc.references | Bourbaki, N.: Lie groups and Lie Algebras, Hermann, Paris 1971. | pl_PL |
dc.references | R.C. Gunning, Introduction to Holomorphic Functions of Several Variables, Vol. II (Wadsworth & Brooks/Cole), 1990. | pl_PL |
dc.references | Hertling, C. and Kurbel, R.: On the classification of quasihomogeneous singularities, J. Singul. 4 (2012), 131-153. | pl_PL |
dc.references | Kouchnirenko, A. G.: Polyèdres de Newton et nombres de Milnor, Invent. Math. 32 (1976), 1-31. | pl_PL |
dc.references | Kouchnirenko, A. G.: Criteria for the existence of a non-degenerate quasihomogeneous function with given weights, (In Russian.) Usp. Mat Nauk 32:3 (1977), 169-170. | pl_PL |
dc.references | Kreuzer, M. and Skarke, H.: On the classification of quasihomogeneous function, Commun. Math. Phys. 150 (1992), 137-147. | pl_PL |
dc.references | Lenarcik, A.: On the Łojasiewicz exponent of the gradient holomorphic function, PhD Thesis, University of Łódź (1996). | pl_PL |
dc.references | Lenarcik, A.: On the Jacobian Newton polygon of plane curve singularities, Manuscripta Math. 125 (2008), 309-324. | pl_PL |
dc.references | Oleksik, G.: The Łojasiewicz exponent of nondegenerate surface singularity, Acta. Math. Hungar. 138 (2013), 179-199. | pl_PL |
dc.references | Orlik, P. and Randell, R.: The classification and monodromy of weighted homogeneous singularities, Preprint, (1976 or 1977), 40 pages. | pl_PL |
dc.references | Orlik, P. and Randell, R.: The monodromy of weighted homogeneous singularities, Invent. Math. 39 (1977), 199-201. | pl_PL |
dc.references | Shcherbak, O.P.: Conditions for the existence of a non-degenerate mapping with a given support, Func. Anal. Appl 13 (1979), 154-155. | pl_PL |
dc.references | Saito, K.: Quasihomogene isolierte Singularitäten von Hyperflächen, Invent. Math. 14 (1971), 123-142. | pl_PL |
dc.references | Saito, K.: Regular systems of weights and their associated singularities, In: Complex analytic singularities. Advanced Studies in Pure Math. 8, Kinokuniya & North Holland 1987, 479-526. | pl_PL |
dc.references | Wall, C.T.C.: Weighted homogeneous complete intersection, In: Algebraic geometry and singularities (La Rábida, 1991). Progr. Math. 134, Birkhäuser, Basel (1996), 277-300. | pl_PL |
dc.references | Wall, C.T.C.: Newton polytopes and non-degeneracy, J. Reine Angew. Math. 509 (1999), 1-19. | pl_PL |
dc.contributor.authorEmail | oleksig@math.uni.lodz.pl | pl_PL |
dc.identifier.doi | 10.18778/7969-017-6.07 | |