manuscripta mathematica

, Volume 7, Issue 2, pp 125–140 | Cite as

Algebraic De Rham cohomology

  • Robin Hartshorne
Article

Abstract

We announce the development of a theory of algebraic De Rham cohomology and homology for arbitrary schemes over a field of characteristic zero. Over the complex numbers, this theory is equivalent to singular cohomology. Applications include generalizations of theorems of Lefschetz and Barth on the cohomology of projective varieties.

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Copyright information

© Springer-Verlag 1972

Authors and Affiliations

  • Robin Hartshorne
    • 1
  1. 1.Mathematics DepartmentHarvard UniversityCambridge

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