On varieties with higher osculating defect
Algebraic Geometry
2014-06-13 v1 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1204.4399,
title = {On varieties with higher osculating defect},
author = {Pietro De Poi and Roberta Di Gennaro and Giovanna Ilardi},
journal= {arXiv preprint arXiv:1204.4399},
year = {2014}
}
Comments
AMS-LaTeX; 17 pages. To appear in Revista Matem\'atica Iberoam\'ericana