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arxiv: 1110.6558 · v1 · pith:3BF7QH5Rnew · submitted 2011-10-29 · 🧮 math.AG · math.GR

SL(2)-regular Subvarieties of Complete Quadrics

classification 🧮 math.AG math.GR
keywords regularsubvarietiescompletequadricscarrellcomputingdetermineextend
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We determine SL(n)-stable, SL(2)-regular subvarieties of the variety of complete quadrics. We extend the results of Aky{\i}ld{\i}z and Carrell on Kostant-Macdonald identity by computing the Poincar{\'e} polynomials of these regular subvarieties.

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