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Logarithmic form

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 (the complement of the…

History, Mixed Hodge theory for smooth varieties & Logarithmic differentials in algebraic geometry

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Mixed Hodge theory for smooth varieties

Alexander GrothendieckDe Rham theoremCoherent sheaf cohomologySingular cohomologyInteger
15 related topics

Logarithmic differentials in algebraic geometry

Smooth schemeClosed pointExact sequenceCoherent sheavesIrreducible component
14 related topics

Logarithmic de Rham complex

Exterior derivativeOpen subsetComplexDirect imageNormal crossings
10 related topics

Historical terminology

Elliptic functionsWeierstrass zeta functionLattice
3 related topics

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Logarithmic de Rham complex

Logarithmic differentials in algebraic geometry

Historical terminology

Mixed Hodge theory for smooth varieties

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Logarithmic form

Nodes62
Edges61
Triples1
Avg. degree1.97
Density0.032258
Components1

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Important terminology

displaystyle complex logarithmic divisor log poles omega along residue algebraic de holomorphic cohomology smooth defined differential differentials normal crossings called

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
d z / zinstance ofDifferential forms0.80text

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