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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Results 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.…
Le théorème de Riemann-Roch
© 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…
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…
Differential Forms on Regular Affine Algebras
The formal apparatus of the algebra of differential forms appears as a rather special amalgam of multilinear and homological algebra, which has not been satisfactorily absorbed in the general theory…
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