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Derived categories of Fano varieties of lines

math.AG · 2025-01-07 · conditional · novelty 6.0

Proves Galkin's derived-equivalence conjecture for generic cubic fourfolds in Hassett divisors with d/2 a perfect square, and establishes the associated weight-two Hodge isometry for all smooth cubic fourfolds.

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  • Derived categories of Fano varieties of lines math.AG · 2025-01-07 · conditional · none · ref 6

    Proves Galkin's derived-equivalence conjecture for generic cubic fourfolds in Hassett divisors with d/2 a perfect square, and establishes the associated weight-two Hodge isometry for all smooth cubic fourfolds.