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dc.contributor.authorLampa-Baczyńska, Magdalena
dc.contributor.authorWójcik, Daniel
dc.contributor.editorKrasiński, Tadeusz
dc.contributor.editorSpodzieja, Stanisław
dc.date.accessioned2020-01-28T12:10:18Z
dc.date.available2020-01-28T12:10:18Z
dc.date.issued2019
dc.identifier.citationLampa-Baczyńska M., Wójcik D., On the dual Hesse arrangement, in: Analytic and Algebraic Geometry 3, T. Krasiński, S. Spodzieja (red.), WUŁ, Łódź 2019, doi: 10.18778/8142-814-9.12.pl_PL
dc.identifier.isbn978-83-8142-814-9
dc.identifier.urihttp://hdl.handle.net/11089/31343
dc.description.abstractIn the present note we investigate to which extent the configuration of 9 lines intersecting in triples in 12 points is determined by these incidences. We show that up to a projective automorphism there is exactly one such configuration in characteristic zero and one in characteristic 3. We pin down the geometric difference between these two realizations.pl_PL
dc.language.isoenpl_PL
dc.publisherWydawnictwo Uniwersytetu Łódzkiegopl_PL
dc.relation.ispartofAnalytic and Algebraic Geometry 3;
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Międzynarodowe*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleOn the dual Hesse arrangementpl_PL
dc.typeBook chapterpl_PL
dc.page.number169-177pl_PL
dc.contributor.authorAffiliationDepartment of Mathematics, Pedagogical University of Cracowpl_PL
dc.contributor.authorAffiliationDepartment of Mathematics, Pedagogical University of Cracowpl_PL
dc.identifier.eisbn978-83-8142-815-6
dc.referencesM. Artebani and I. Dolgachev. The Hesse pencil of plane cubic curves. Enseign. Math. (2), 55(3-4):235{273, 2009.pl_PL
dc.referencesT. Bauer, G. Malara, T. Szemberg, and J. Szpond. Quartic unexpected curves and surfaces. Manuscripta Math., to appear, doi.org/10.1007/s00229-018-1091-3.pl_PL
dc.referencesM. Dumnicki, T. Szemberg, and H. Tutaj-Gasińska. Counterexamples to the I(3) I2 containment. J. Algebra, 393:24-29, 2013.pl_PL
dc.referencesL. Farnik, J. Kabat, M. Lampa-Baczyńska, H. Tutaj-Gasińska. On the parameter spaces of some Boroczky con gurations, International Journal of Algebra and Computation, 28: 1231- 1246, 2018.pl_PL
dc.referencesO. Hesse. Uber die Elimination der Variabeln aus drei algebraischen Gleichungen vom zweiten Grade mit zwei Variabeln. J. Reine Angew. Math., 28:68-96, 1844.pl_PL
dc.referencesM. Lampa-Baczyńska, J. Szpond J. From Pappus Theorem to parameter spaces of some extremal line point con gurations and applications, Geom. Dedicata, 188: 103-121, 2017.pl_PL
dc.referencesB. Sturmfels. Computational algebraic geometry of projective con gurations. volume 11, pages 595-618. 1991. Invariant-theoretic algorithms in geometry (Minneapolis, MN, 1987).pl_PL
dc.referencesJ. J. Sylvester. Problem 11851, Math. Questions from the Educational Times 59 (1893), 98-99.pl_PL
dc.referencesJ. Szpond. Fermat-type arrangements, arXiv:1909.04089.pl_PL
dc.contributor.authorEmaillampa.baczynska@wp.plpl_PL
dc.contributor.authorEmaildaniel.wojcik@krakow.up.plpl_PL
dc.identifier.doi10.18778/8142-814-9.12


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