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arxiv: math/0409439 · v1 · submitted 2004-09-22 · 🧮 math.AG

Projective Duality and Principal Nilpotent Elements of Symmetric Pairs

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keywords projectivenilpotentsymmetricalgebraiccomplexcomponentsconesduality
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It is shown that projectivized irreducible components of nilpotent cones of complex symmetric spaces are projective self-dual algebraic varieties. Other properties equivalent to their projective self-duality are found.

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