Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4109
Title: | On Congruences of Linear Spaces of Order One | Authors: | De Poi, Pietro Mezzetti, Emilia |
Keywords: | Grassmannians; Congruences; Focal Locus; Fundamental Locus; Multisecant Lines | Issue Date: | 2007 | Publisher: | EUT Edizioni Università di Trieste | Source: | Pietro De Poi, Emilia Mezzetti, "On Congruences of Linear Spaces of Order One”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 39 (2007), pp. 177-229. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 39 (2007) |
Abstract: | After presenting the main notions and results about congruences of k-planes, we dwell upon congruences of lines, mainly of order one. We survey the classification results in the projective spaces of dimension 3 and 4, which are almost complete, and the (partial) results and some conjectures in higher dimension. Finally we present some new results, in particular a degree bound for varieties with one apparent double point, a new class of examples with focal locus of high degree, and some general results about the classification of first order congruences of lines in $\mathbb P^4$ with reducible focal surface. |
Type: | Article | URI: | http://hdl.handle.net/10077/4109 | ISSN: | 0049-4704 |
Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.39 (2007) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
DePoiMezzettiRendMat39.pdf | 249.2 kB | Adobe PDF | ![]() View/Open |
CORE Recommender
Page view(s) 20
975
checked on Jun 28, 2022
Download(s) 50
498
checked on Jun 28, 2022
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.