algebra / Pluripotential theory

Boucksom's Local Analytic Bertini Conjecture

Does the analytic Bertini restriction theorem for multiplier ideals hold locally, outside a pluripolar exceptional set of fibers? Proved in full generality.

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algebraJul 28, 2026Significance 15/100Registry: unreviewed

Boucksom's Local Analytic Bertini Conjecture

Prior state unknown→proved

Does the analytic Bertini restriction theorem for multiplier ideals hold locally, outside a pluripolar exceptional set of fibers? Proved in full generality.

Source authenticatedBoucksom's Local Analytic Bertini Conjecture →

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Does the analytic Bertini restriction theorem for multiplier ideals hold locally, outside a pluripolar exceptional set of fibers? Proved in full generality.

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