In dimension six, an isotropic class with extremal intersection numbers forces the Beauville form to be even and the Riemann-Roch polynomial to be one of a short list of explicit polynomials.
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Numerical invariants of hyper-K\"ahler manifolds
In dimension six, an isotropic class with extremal intersection numbers forces the Beauville form to be even and the Riemann-Roch polynomial to be one of a short list of explicit polynomials.