The signature of generalized flag manifolds and applications |
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| Authors: | Ping Li Yang Su |
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| Institution: | 1. Department of Mathematics, Tongji University, Shanghai, 200092, P. R. China
2. Institute of Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing, 100190, P. R. China
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| Abstract: | Let G be a linear algebraic group over ℂ and P be a parabolic subgroup. We determine the signatures of the flag manifold G/P. As an application, we prove that the nonsingular hypersurfaces of degree 2 in ℂP
n
are prime if n satisfies certain conditions. |
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| Keywords: | Signature flag manifold prime manifold |
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