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Holomorphic 1-forms without zeros on K\"ahler threefolds

math.AG · 2025-06-27 · conditional · novelty 8.0

Every compact Kähler threefold satisfying condition (C) admits a finite étale cover bimeromorphic to a fiber bundle over a torus fiber bundle, yielding a nowhere-vanishing holomorphic 1-form.

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  • Holomorphic 1-forms without zeros on K\"ahler threefolds math.AG · 2025-06-27 · conditional · none · ref 76

    Every compact Kähler threefold satisfying condition (C) admits a finite étale cover bimeromorphic to a fiber bundle over a torus fiber bundle, yielding a nowhere-vanishing holomorphic 1-form.