manuscripta mathematica

, Volume 7, Issue 2, pp 125–140

Algebraic De Rham cohomology

  • Robin Hartshorne


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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag 1972

Authors and Affiliations

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

Personalised recommendations