dc.contributor.author | Lampa-Baczyńska, Magdalena | |
dc.contributor.author | Wójcik, Daniel | |
dc.contributor.editor | Krasiński, Tadeusz | |
dc.contributor.editor | Spodzieja, Stanisław | |
dc.date.accessioned | 2020-01-28T12:10:18Z | |
dc.date.available | 2020-01-28T12:10:18Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Lampa-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.isbn | 978-83-8142-814-9 | |
dc.identifier.uri | http://hdl.handle.net/11089/31343 | |
dc.description.abstract | In 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.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 | On the dual Hesse arrangement | pl_PL |
dc.type | Book chapter | pl_PL |
dc.page.number | 169-177 | pl_PL |
dc.contributor.authorAffiliation | Department of Mathematics, Pedagogical University of Cracow | pl_PL |
dc.contributor.authorAffiliation | Department of Mathematics, Pedagogical University of Cracow | pl_PL |
dc.identifier.eisbn | 978-83-8142-815-6 | |
dc.references | M. Artebani and I. Dolgachev. The Hesse pencil of plane cubic curves. Enseign. Math. (2), 55(3-4):235{273, 2009. | pl_PL |
dc.references | T. 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.references | M. Dumnicki, T. Szemberg, and H. Tutaj-Gasińska. Counterexamples to the I(3) I2 containment. J. Algebra, 393:24-29, 2013. | pl_PL |
dc.references | L. 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.references | O. 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.references | M. 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.references | B. 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.references | J. J. Sylvester. Problem 11851, Math. Questions from the Educational Times 59 (1893), 98-99. | pl_PL |
dc.references | J. Szpond. Fermat-type arrangements, arXiv:1909.04089. | pl_PL |
dc.contributor.authorEmail | lampa.baczynska@wp.pl | pl_PL |
dc.contributor.authorEmail | daniel.wojcik@krakow.up.pl | pl_PL |
dc.identifier.doi | 10.18778/8142-814-9.12 | |