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Conjecture on the pseudo-effective cone of projective irreducible holomorphic symplectic manifolds
Let $X$ be a projective irreducible holomorphic symplectic (IHS) manifold with Picard number greater than $3$ . Let $\operatorname{Neg}(X)$ denote the set of negative divisors used…
Conjectureopenbirational-geometry irreducible-holomorphic-symplectic pseudo-effective-conesarXiv posted 2 days ago
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RLF conjecture for isotropic divisors on projective irreducible holomorphic symplectic manifolds
Let $X$ be a projective irreducible holomorphic symplectic (IHS) manifold and let $D$ be an integral divisor on $X$ that is isotropic with respect to the Beauville–Bogomolov–Fujiki…
Conjectureopenirreducible-holomorphic-symplectic lagrangian-fibrations pseudo-effective-conesarXiv posted 2 days ago

Conjecture on the pseudo-effective cone of projective irreducible holomorphic symplectic manifolds