On tangent cones to Schubert varieties in type E

2020/07/07 by Ignatyev, Mikhail V., Shevchenko, Aleksandr A.
#14M15 #17B22 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2007.04110

Abstract

We consider tangent cones to Schubert subvarieties of the flag variety G/B, where B is a Borel subgroup of a reductive complex algebraic group G of type E₆, E₇ or E₈. We prove that if w₁ and w₂ form a good pair of involutions in the Weyl group W of G then the tangent cones C_w1 and C_w2 to the corresponding Schubert subvarieties of G/B do not coincide as subschemes of the tangent space to G/B at the neutral point.

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