manuscripta mathematica

, Volume 7, Issue 2, pp 125–140

Algebraic De Rham cohomology

Authors

  • Robin Hartshorne
    • Mathematics DepartmentHarvard University
Article

DOI: 10.1007/BF01679709

Cite this article as:
Hartshorne, R. Manuscripta Math (1972) 7: 125. doi:10.1007/BF01679709

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.

Copyright information

© Springer-Verlag 1972