Dual varieties and the duality of the second fundamental form

Details Dual varieties and the duality of the second fundamental form Dual varieties and the duality of the second fundamental form

1997-02-03

arxiv.org/abs/alg-geom/9702003v1

Mathematics

Algebraic Geometry

LaTeX2e+AmsLaTeX. 3 pages. This manuscript was submitted to Proceedings of Symposium Real Analytic and Algebraic Singularities

Scientific paper

First, we consider a compact real-analytic irreducible subvariety $M$ in a
sphere and its dual variety $M^\vee$. We explain that two matrices of the
second fundamental forms for both varieties $M$ and $M^\vee$ can be regarded as
the inverse matrices of each other. Also generalization in hyperbolic space is
explained.

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