In this paper, using the method of moving frames, we gen- eralise some of Terracini's results on varieties with tangent defect. Inparticular, 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.
On varieties with higher osculating defect / P., De Poi; DI GENNARO, Roberta; Ilardi, Giovanna. - In: REVISTA MATEMATICA IBEROAMERICANA. - ISSN 0213-2230. - 29 (2013):4(2013), pp. 1191-1210. [10.4171/rmi/753]
On varieties with higher osculating defect
DI GENNARO, ROBERTA;ILARDI, GIOVANNA
2013
Abstract
In this paper, using the method of moving frames, we gen- eralise some of Terracini's results on varieties with tangent defect. Inparticular, 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.File in questo prodotto:
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