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} }
© 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.
108 Citations
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References
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On the de rham cohomology of algebraic varieties
- Mathematics
- 1966
© 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
- Mathematics
- 1958
© 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
- Mathematics
- 1956
© 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
- Mathematics
- 1958
© 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
- Mathematics
- 1960
© 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
- Mathematics
- 1968
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
- Mathematics
- 1968
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…
Integrals of the Second Kind on an Algebraic Variety
- Mathematics
- 1955
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
- Mathematics
- 1962
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…