Family 038Algebraic and complex geometryNo LeanNot yet digested

Fujita’s freeness conjecture

Proves Fujita's freeness conjecture at its sharp bound in every dimension: for a smooth projective complex variety X of dimension n and an ample line bundle L, the adjoint KX+mLK_X+mL is globally generated for every integer m≥n+1m\ge n+1.

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Fujita's freeness conjecture

Sep 23, 2026·Fujitas-freeness-conjecture-September-23-2026.pdf