De Poi, Pietro On first order congruences of lines of \(\mathbb P^4\) with a fundamental curve. (English) Zbl 1066.14062 Manuscr. Math. 106, No. 1, 101-116 (2001); erratum ibid. 127, No. 1, 137 (2008). Summary: We discuss projective families of lines of \(\mathbb P^n\), and in particular congruences of order one. After giving general results, we obtain a complete classification of the case of \(\mathbb P^4\) in which there is a fundamental curve. Cited in 2 ReviewsCited in 9 Documents MSC: 14N05 Projective techniques in algebraic geometry 14J40 \(n\)-folds (\(n>4\)) 14M15 Grassmannians, Schubert varieties, flag manifolds 51N35 Questions of classical algebraic geometry PDFBibTeX XMLCite \textit{P. De Poi}, Manuscr. Math. 106, No. 1, 101--116 (2001; Zbl 1066.14062) Full Text: DOI