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Dual varieties of subvarieties of homogeneous spaces

Pierre-Emmanuel Chaput
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Abstract

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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Pierre-Emmanuel Chaput. 2007-02-27. Dual varieties of subvarieties of homogeneous spaces. https://arxiv.org/abs/math/0702829

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