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Le d´ eterminant de la cohomologie

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2024 1

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Deligne pairing for equidimensional morphisms

math.AG · 2024-11-26 · conditional · novelty 7.0

For surjective projective morphisms of pure relative dimension d over normal schemes, this paper constructs a symmetric multi-additive Deligne pairing on d+1 line bundles, with functorial properties and canonical hermitian metrics.

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  • Deligne pairing for equidimensional morphisms math.AG · 2024-11-26 · conditional · none · ref 587

    For surjective projective morphisms of pure relative dimension d over normal schemes, this paper constructs a symmetric multi-additive Deligne pairing on d+1 line bundles, with functorial properties and canonical hermitian metrics.