We explore the geometry of the osculating spaces to projective verieties of arbitrary dimension. In particular, we classify varieties having very degenerate higher order osculating spaces and we determine mild conditions for the existence of inflectionary points.
@article{urn:eudml:doc:44339, title = {On the osculatory behaviour of higher dimensional projective varieties.}, journal = {Collectanea Mathematica}, volume = {55}, year = {2004}, pages = {229-236}, zbl = {1060.14075}, mrnumber = {MR2068977}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44339} }
Ballico, Edoardo; Fontanari, Claudio. On the osculatory behaviour of higher dimensional projective varieties.. Collectanea Mathematica, Tome 55 (2004) pp. 229-236. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44339/