On the Slope of the Schur Functor of a Vector Bundle
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چکیده
We prove that, for any complex vector bundle E of rank e on a compact Kähler manifold X, we have that μ(SE) = |λ| μ(E) for any λ = (λ1, ..., λe−1) with λi ∈ N and λ1 ≥ ... ≥ λe−1, where |λ| = λ1 + ... + λe−1, the symbol S denotes the Schur functor and μ is the slope. This result has already been stated, without proof, by Ottaviani in 1995. AMS Subject Classification: 19L10, 55R10
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تاریخ انتشار 2013