Some remarks on varieties with degenerate Gauss image

Details Some remarks on varieties with degenerate Gauss image Some remarks on varieties with degenerate Gauss image

2003-04-09

arxiv.org/abs/math/0304127v1

Mathematics

Algebraic Geometry

9 pages, to be published in Pacific Journal of Mathematics

Scientific paper

We consider projective varieties with degenerate Gauss image whose focal
hypersurfaces are non-reduced schemes. Examples of this situation are provided
by the secant varieties of Severi and Scorza varieties. The Severi varieties
are moreover characterized by a uniqueness property.

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