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European Mathematical Society Publishing House
2016-09-19 17:05:47
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
29
2013
4
On varieties with higher osculating defect
Pietro
De Poi
Università di Udine, UDINE, ITALY
Roberta
Di Gennaro
Università degli Studi di Napoli “Federico II”, NAPOLI, ITALY
Giovanna
Ilardi
Università degli Studi di Napoli “Federico II”, NAPOLI, ITALY
Algebraic varieties, osculating defects, higher fundamental forms, Laplace equations, scrolls
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.
Differential geometry
Algebraic geometry
Geometry
1191
1210
10.4171/RMI/753
http://www.ems-ph.org/doi/10.4171/RMI/753