Postulation of general unions of lines and +lines in positive characteristic

Abstract A +line is a scheme R ⊂ ℙr with a line as its reduction L = Rred which is the union of L and a tangent vector v ⊈ L with vred ∈ L. Here we prove in arbitrary characteristic that for r ≥ 4 a general union of lines and +lines has maximal rank....

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Autor principal:	Ballico,E.
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2018
Materias:	Hilbert function decorated line disjoint unions of lines
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000300031
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spelling	oai:scielo:S0719-064620180003000312019-03-08Postulation of general unions of lines and +lines in positive characteristicBallico,E. Hilbert function decorated line disjoint unions of lines Abstract A +line is a scheme R ⊂ ℙr with a line as its reduction L = Rred which is the union of L and a tangent vector v ⊈ L with vred ∈ L. Here we prove in arbitrary characteristic that for r ≥ 4 a general union of lines and +lines has maximal rank. We use the case r = 3 proved by myself in a previous paper and adapt the characteristic zero proof of the case r > 3 given in the same paper.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.20 n.3 20182018-10-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000300031en10.4067/S0719-06462018000300031
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Hilbert function decorated line disjoint unions of lines
spellingShingle	Hilbert function decorated line disjoint unions of lines Ballico,E. Postulation of general unions of lines and +lines in positive characteristic
description	Abstract A +line is a scheme R ⊂ ℙr with a line as its reduction L = Rred which is the union of L and a tangent vector v ⊈ L with vred ∈ L. Here we prove in arbitrary characteristic that for r ≥ 4 a general union of lines and +lines has maximal rank. We use the case r = 3 proved by myself in a previous paper and adapt the characteristic zero proof of the case r > 3 given in the same paper.
author	Ballico,E.
author_facet	Ballico,E.
author_sort	Ballico,E.
title	Postulation of general unions of lines and +lines in positive characteristic
title_short	Postulation of general unions of lines and +lines in positive characteristic
title_full	Postulation of general unions of lines and +lines in positive characteristic
title_fullStr	Postulation of general unions of lines and +lines in positive characteristic
title_full_unstemmed	Postulation of general unions of lines and +lines in positive characteristic
title_sort	postulation of general unions of lines and +lines in positive characteristic
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2018
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000300031
work_keys_str_mv	AT ballicoe postulationofgeneralunionsoflinesandlinesinpositivecharacteristic
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Postulation of general unions of lines and +lines in positive characteristic

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