On the osculatory behaviour of higher dimensional projective varieties.

Edoardo Ballico; Claudio Fontanari

Collectanea Mathematica (2004)

  • Volume: 55, Issue: 2, page 229-236
  • ISSN: 0010-0757

Abstract

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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.

How to cite

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Ballico, Edoardo, and Fontanari, Claudio. "On the osculatory behaviour of higher dimensional projective varieties.." Collectanea Mathematica 55.2 (2004): 229-236. <http://eudml.org/doc/44339>.

@article{Ballico2004,
abstract = {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.},
author = {Ballico, Edoardo, Fontanari, Claudio},
journal = {Collectanea Mathematica},
keywords = {Projective varieties; Osculating spaces; Inflectionary points},
language = {eng},
number = {2},
pages = {229-236},
title = {On the osculatory behaviour of higher dimensional projective varieties.},
url = {http://eudml.org/doc/44339},
volume = {55},
year = {2004},
}

TY - JOUR
AU - Ballico, Edoardo
AU - Fontanari, Claudio
TI - On the osculatory behaviour of higher dimensional projective varieties.
JO - Collectanea Mathematica
PY - 2004
VL - 55
IS - 2
SP - 229
EP - 236
AB - 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.
LA - eng
KW - Projective varieties; Osculating spaces; Inflectionary points
UR - http://eudml.org/doc/44339
ER -

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