A non-containment example on lines and a smooth curve of genus 10

Janasz, Marek; Malara, Grzegorz

dc.contributor.author	Janasz, Marek
dc.contributor.author	Malara, Grzegorz
dc.contributor.editor	Krasiński, Tadeusz
dc.contributor.editor	Spodzieja, Stanisław
dc.date.accessioned	2020-01-28T12:07:32Z
dc.date.available	2020-01-28T12:07:32Z
dc.date.issued	2019
dc.identifier.citation	Janasz M., Malara G., A non-containment example on lines and a smooth curve of genus 10, in: Analytic and Algebraic Geometry 3, T. Krasiński, S. Spodzieja (red.), WUŁ, Łódź 2019, doi: 10.18778/8142-814-9.09.	pl_PL
dc.identifier.isbn	978-83-8142-814-9
dc.identifier.uri	http://hdl.handle.net/11089/31340
dc.description.abstract	The containment problem between symbolic and ordinary powers of homogeneous ideals has stimulated a lot of interesting research recently. In the most basic case of points in P2 and powers I(3) and I2, there is a number of non-containment results based on arrangements of lines. In a joint paper with Lampa-Baczyńska we discovered the first example of non-containment based on an arrangement of axes and a singular irreducible curve of high degree. In the present note we show a similar example based on lines and a smooth curve of degree 6.	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	A non-containment example on lines and a smooth curve of genus 10	pl_PL
dc.type	Book chapter	pl_PL
dc.page.number	111-118	pl_PL
dc.contributor.authorAffiliation	Pedagogical University of Cracow, Department of Mathematics	pl_PL
dc.contributor.authorAffiliation	Pedagogical University of Cracow, Department of Mathematics	pl_PL
dc.identifier.eisbn	978-83-8142-815-6
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dc.contributor.authorEmail	mjanasz@op.pl	pl_PL
dc.contributor.authorEmail	grzegorz.malara@up.krakow.pl	pl_PL
dc.identifier.doi	10.18778/8142-814-9.09