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differential form with logarithmic singularities

Contents

Idea

A differential form with logarithmic singularities is a meromorphic differential form on some space XX which is a holomorphic differential form on a suitably dense open subspace with at most logarithmic singularities at the boundary.

These are the differential forms on spaces in logarithmic geometry. They form the logarithmic generalization of the holomorphic de Rham complex.

Examples

References

The brief idea is well described in

  • Pottharst, Logarithmic structures on schemes (pdf)

Further details are discussed in

Discussion in the context of geometric Langlands duality includes

In the context of differential algebraic K-theory

Last revised on July 2, 2014 at 09:59:46. See the history of this page for a list of all contributions to it.