Logarithmic form

id: logarithmic-form-257-12497021
title: Logarithmic form
text: In algebraic geometry and the theory of complex manifolds, a logarithmic differential form is a differential form with poles of a certain kind. The concept was introduced by Pierre Deligne. In short, logarithmic differentials have the mildest possible singularities needed in order to give information about an open submanifold. Let X be a complex manifold, D ⊂ X a reduced divisor, and ω a holomorphic p-form on X−D. If both ω and dω have a pole of order at most 1 along D, then ω is said to have a
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Logarithmic_form
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date modified: 2023-11-29T02:01:08Z
main entity: {"identifier":"Q6667308","url":"https://www.wikidata.org/entity/Q6667308"}
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