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Lagrangian fibrations of hyperk\"ahler fourfolds
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math.AG
keywords
lagrangianahlerbasefibrationfibrationsfourfoldfourfoldshyperk
abstract
The base surface $B$ of a Lagrangian fibration $X\twoheadrightarrow B$ of a projective, irreducible symplectic fourfold $X$ is shown to be isomorphic to ${\mathbb P}^2$.
Forward citations
Cited by 1 Pith paper
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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.
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