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Odd-Degree Rigidity and a Numerical Characterization of Complete Flag Varieties
14e30algebraic-geometryalgebraic-topologycomplex-variablesdifferential-geometryrepresentation-theory
Let $F=G/B$ be the complete flag variety of a connected semisimple complex linear algebraic group. We prove that if a smooth Fano variety $X$ has the same dimension and Picard number as $F$, then the existence of a continuous map $X\to F$ of odd topological degree implies $X$ is isomorphic to $F$. I
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