dc.contributor.author | Janeczko, Stanisław | |
dc.contributor.author | Jelonek, Zbigniew | |
dc.contributor.author | Soares Ruas, Maria Aparecida | |
dc.contributor.editor | Krasiński, Tadeusz | |
dc.contributor.editor | Spodzieja, Stanisław | |
dc.date.accessioned | 2017-12-28T08:40:00Z | |
dc.date.available | 2017-12-28T08:40:00Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Janeczko S, Jelonek Z., Ruas M. A. S., On a generic symmetry defect hypersurface, [in:] Krasiński T., Spodzieja S. (eds), Analytic and Algebraic Geometry 2, Łódź University Press, Łódź 2017, p. 67-74, doi: 10.18778/8088-922-4.11 | pl_PL |
dc.identifier.isbn | 978-83-8088-922-4 | |
dc.identifier.uri | http://hdl.handle.net/11089/23772 | |
dc.description.abstract | We show that symmetry defect hypersurfaces for two generic members of the irreducible algebraic family of n-dimensional smooth irreducible subvarieties in general position in C²ⁿ are homeomorphic and they have homeomorphic sets of singular points. In particular symmetry defect curves for two generic curves in C² of the same degree have the same numer of singular points. | pl_PL |
dc.language.iso | en | pl_PL |
dc.publisher | Łódź University Press | pl_PL |
dc.relation.ispartof | Krasiński T., Spodzieja S. (eds), Analytic and Algebraic Geometry 2, Łódź University Press, Łódź 2017; | |
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 a generic symmetry defect hypersurface | pl_PL |
dc.type | Book chapter | pl_PL |
dc.rights.holder | © Copyright by Authors, Łódź 2017; © Copyright for this edition by Uniwersytet Łódzki, Łódź 2017 | pl_PL |
dc.page.number | 67-74 | pl_PL |
dc.contributor.authorAffiliation | Instytut Matematyczny, Polska Akademia Nauk, Śniadeckich 8, 00-956 Warszawa, Poland, Wydział Matematyki i Nauk Informacyjnych, Politechnika Warszawska, Pl. Politechniki 1, 00-661 Warszawa, Poland | pl_PL |
dc.contributor.authorAffiliation | Instytut Matematyczny, Polska Akademia Nauk, Śniadeckich 8, 00-956 Warszawa, Poland | pl_PL |
dc.contributor.authorAffiliation | Departamento de Matemática , ICMC-USP, Caixa Postal 668, 13560-970 São Carlos, S.P., Brasil | pl_PL |
dc.identifier.eisbn | 978-83-8088-923-1 | |
dc.references | P.J. Giblin and P.A. Holtom, The centre symmetry set, in: Geometry and Topology of Caustics (Warsaw 1998), Banach Center Publ. Vol. 50, ed. S. Janeczko and V.M. Zakalyukin, Warsaw, 1999, 91-105. | pl_PL |
dc.references | P.J. Giblin and S. Janeczko, Geometry of curves and surfaces through the contact map, Topology Appl. 159 (2012), 466-475. | pl_PL |
dc.references | S. Janeczko, Bifurcations of the Center of Symmetry, Geom. Dedicata 60, (1996), 9-16. | pl_PL |
dc.references | Z. Jelonek, On semi-equivalence of generically finite polynomial mappings, to appear. | pl_PL |
dc.references | Z. Jelonek, The set of points at which a polynomial map is not proper, Ann. Polon. Math. 58 (1993), 259-266. | pl_PL |
dc.references | Z. Jelonek, Testing sets for properness of polynomial mappings, Math. Ann. 315 (1999), 1-35. | pl_PL |
dc.references | S. Janeczko, Z. Jelonek and M.A.S. Ruas, Symmetry defect of algebraic varieties, Asian J. Math. 18 (2014), 525-544. | pl_PL |
dc.contributor.authorEmail | janeczko@impan.pl | pl_PL |
dc.contributor.authorEmail | najelone@cyf-kr.edu.pl | pl_PL |
dc.contributor.authorEmail | maasruas@icmc.usp.br | pl_PL |
dc.identifier.doi | 10.18778/8088-922-4.11 | |