On the hypersurfaces contained in their Hessian-Reference-Cited by-同舟云学术

On the hypersurfaces contained in their Hessian

Published:2019-12-01 Issue:1 Volume:18 Page:21-33
ISSN:2300-133X
Container-title:Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
language:en
Short-container-title:

Author:

De Poi Pietro¹,Ilardi Giovanna²

Affiliation:

1. Dipartimento di Scienze Matematiche, Informatiche e Fisiche Università degli Studi di Udine via delle Scienze , 206 33100 Udine Italy

2. Dipartimento di Matematica e Applicazioni , Università degli Studi di Napoli “Federico II” , 80126 Napoli Italy

Abstract

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

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/aupcsm-2019-0002

Reference25 articles.

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3. [3] Ciliberto, Ciro and Edoardo Sernesi. “Singularities of the theta divisor and congruences of planes.” J. Algebraic Geom. 1, no. 2 (1992): 231-250. Cited on 22.

4. [4] De Poi, Pietro. “On first order congruences of lines of ℙ4 with a fundamental curve.” Manuscripta Math. 106, no. 1 (2001): 101-116. Cited on 22.

5. [5] De Poi, Pietro. “Threefolds in ℙ5 with one apparent quadruple point.” Comm. Algebra 31, no. 4 (2003): 1927-1947. Cited on 22.