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We prove the conjectures of Graham-Kumar and Griffeth-Ram concerning the alternation of signs in the structure constants for torus-equivariant K-theory of generalized flag varieties G/P.
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William Graham and Shrawan Kumar, On positivity in T T -equivariant K K -theory of flag varieties . arXiv:math.AG/0801.2776
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Susan Sierra, A general homological Kleiman–Bertini theorem . arXiv:math.AG/0705.0055
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Ezra Miller and David Speyer, A Kleiman–Bertini theorem for sheaf tensor products , Journal of Algebraic Geometry 17
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