On varieties with higher osculating defect

Autor: De Poi, Pietro, Di Gennaro, Roberta, Ilardi, Giovanna
Rok vydání: 2012
Předmět:
Druh dokumentu: Working Paper
DOI: 10.4171/rmi/753
Popis: In this paper, using the method of moving frames, we generalise some of Terracini's results on varieties with tangent defect. In particular, we characterise varieties with higher order osculating defect in terms of Jacobians of higher fundamental forms and moreover we characterise varieties with "small" higher fundamental forms as contained in scrolls.
Comment: AMS-LaTeX; 17 pages. To appear in Revista Matem\'atica Iberoam\'ericana
Databáze: arXiv