On the de rham cohomology of algebraic varieties

@article{Hartshorne1966OnTD,
  title={On the de rham cohomology of algebraic varieties},
  author={Robin Hartshorne},
  journal={Publications Math{\'e}matiques de l'Institut des Hautes {\'E}tudes Scientifiques},
  year={1966},
  volume={45},
  pages={6-99}
}
  • R. Hartshorne
  • Published 1 December 1975
  • Mathematics
  • Publications Mathématiques de l'Institut des Hautes Études Scientifiques
© Publications mathématiques de l’I.H.É.S., 1966, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http:// www.ihes.fr/IHES/Publications/Publications.html) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. 
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108 Citations
Highly Influential Citations
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Background Citations
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108 Citations

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References

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On the de rham cohomology of algebraic varieties
© Publications mathématiques de l’I.H.É.S., 1966, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » ( http://www.…
Géométrie algébrique et géométrie analytique
© Annales de l’institut Fourier, 1956, tous droits réservés. L’accès aux archives de la revue « Annales de l’institut Fourier » (http://annalif.ujf-grenoble.fr/) implique l’accord avec les conditions…
La théorie des classes de Chern
© Bulletin de la S. M. F., 1958, tous droits réservés. L’accès aux archives de la revue « Bulletin de la S. M. F. » (http://smf. emath.fr/Publications/Bulletin/Presentation.html) implique l’accord…
Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen
© Publications mathématiques de l’I.H.É.S., 1960, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://…
Cohomological Dimension of Algebraic Varieties
Let X be a scheme of finite type over a field k. The cohomological dimension of X is the smallest integer n > 0 such that H'(X, F) = 0 for all i > n, and for all quasi-coherent sheaves F on X. There…
Formal Cohomology: II. The Cohomology Sequence of a Pair
Now Grothendieck has shown that the cohomology of a complex variety may be defined algebraically; in particular if X is a complex affine variety the canonical map from the closed/exact algebraic…
Duality over complete local rings
Integrals of the Second Kind on an Algebraic Variety
The classical theory of rational functions on a curve, and their integrals, was generalised by Picard to give a theory of functions and their integrals on an algebraic surface, in an extensive series…
Complex analytic connections in fibre bundles
Introduction. In the theory of differentiable fibre bundles, with a Lie group as structure group, the notion of a connection plays an important role. In this paper we shall consider complex analytic…
Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: II
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