On the hypersurfaces contained in their Hessian

On the hypersurfaces contained in their Hessian

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This article presents the theory of focal locus applied to the hypersurfaces in the projective space which are (finitely) covered by linear spaces and such that the tangent space is constant along these spaces.

Bibliographic Details
Main Authors: Pietro De Poi, Giovanna Ilardi
Format: Article
Language:deu
Published: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2019-03-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Subjects:
hessian
h-parabolic points
focal points
Online Access:https://studmath.up.krakow.pl/index.php/studmath/article/view/7636
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spelling doaj-a7fde2f6ae4645c4bd163a71aa9b7dd12021-02-10T13:50:09ZdeuWydawnictwo Naukowe Uniwersytetu PedagogicznegoAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica 2081-545X2300-133X2019-03-011821337636On the hypersurfaces contained in their HessianPietro De Poi0Giovanna Ilardi1Dipartimento di Scienze Matematiche, Informatiche e Fisiche, Università degli Studi di UdineDipartimento di Matematica e Applicazioni, Università degli Studi di Napoli “Federico II”This article presents the theory of focal locus applied to the hypersurfaces in the projective space which are (finitely) covered by linear spaces and such that the tangent space is constant along these spaces.https://studmath.up.krakow.pl/index.php/studmath/article/view/7636hessianh-parabolic pointsfocal points
collection DOAJ
language deu
format Article
sources DOAJ
author Pietro De Poi
Giovanna Ilardi
spellingShingle Pietro De Poi
Giovanna Ilardi
On the hypersurfaces contained in their Hessian
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
hessian
h-parabolic points
focal points
author_facet Pietro De Poi
Giovanna Ilardi
author_sort Pietro De Poi
title On the hypersurfaces contained in their Hessian
title_short On the hypersurfaces contained in their Hessian
title_full On the hypersurfaces contained in their Hessian
title_fullStr On the hypersurfaces contained in their Hessian
title_full_unstemmed On the hypersurfaces contained in their Hessian
title_sort on the hypersurfaces contained in their hessian
publisher Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
series Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
issn 2081-545X
2300-133X
publishDate 2019-03-01
description This article presents the theory of focal locus applied to the hypersurfaces in the projective space which are (finitely) covered by linear spaces and such that the tangent space is constant along these spaces.
topic hessian
h-parabolic points
focal points
url https://studmath.up.krakow.pl/index.php/studmath/article/view/7636
work_keys_str_mv AT pietrodepoi onthehypersurfacescontainedintheirhessian
AT giovannailardi onthehypersurfacescontainedintheirhessian
_version_ 1724275325140992000

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