On varieties with higher osculating defect

Details On varieties with higher osculating defect On varieties with higher osculating defect

2012-04-19

arxiv.org/abs/1204.4399v1

Mathematics

Algebraic Geometry

AMS-LaTeX; 17 pages. To appear in Revista Matem\'atica Iberoam\'ericana

Scientific paper

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.

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