Dual varieties of subvarieties of homogeneous spaces

Details Dual varieties of subvarieties of homogeneous spaces Dual varieties of subvarieties of homogeneous spaces

2007-02-27

arxiv.org/abs/math/0702829v1

Mathematics

Algebraic Geometry

38 pages

Scientific paper

A subvariety of a complex projective space has a well-known dual variety,
which is the set of its tangent hyperplanes. The purpose of this paper is to
generalise this notion for a subvariety of a quite general partial flag
variety. A similar biduality theorem is proved, and the dual varieties of
Schubert varieties are described.

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