Dual varieties of subvarieties of homogeneous spaces
classification
🧮 math.AG
keywords
dualvarietiessubvarietyvarietybidualitycomplexdescribedflag
read the original 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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