Nagoya Mathematical Journal

Cohomological dimension of group schemes

Hiroshi Umemura
Source: Nagoya Math. J. Volume 52 (1973), 47-52.
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Primary Subjects: 14L15
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.nmj/1118794876
Mathematical Reviews number (MathSciNet): MR0340265
Zentralblatt MATH identifier: 0271.14008

References

[1] Andreotti, A. and Grauert, H. Theoreme de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France, 90 (1962), 193-259.
Mathematical Reviews (MathSciNet): MR0150342
Zentralblatt MATH: 0154.33601
[2] Chow, W. L. On the projective embedding of homogeneous varieties. A symp. in honor of S. Lefschetz, 122-128, Princeton University press.
Mathematical Reviews (MathSciNet): MR0084851
Zentralblatt MATH: 0091.33302
[3] Dieudonne, J. et Grothendieck, A. E.G.A.
[4] Hartshorne, R.Ample subvarieties of algebraic varieties, Lecture notes in mathematics 156, Springer.
Mathematical Reviews (MathSciNet): MR0282977
Zentralblatt MATH: 0208.48901
[5] Matsushima, Y.Fibres holomorphes sur un tore complexe, Nagoya Math. J., 14, 1-24 (1959).
Mathematical Reviews (MathSciNet): MR0102613
Zentralblatt MATH: 0095.36702
Project Euclid: euclid.nmj/1118800136
[6] Mumford, D. Abelian varieties, Oxford University press.
Mathematical Reviews (MathSciNet): MR282985
[7] Oort, F. Algebraic group schemes in characteristic zero are reduced, Inventiones math., 2 (1966), 79-80.
Mathematical Reviews (MathSciNet): MR0206005
Zentralblatt MATH: 0173.49002
Digital Object Identifier: doi:10.1007/BF01403391
[8] Rosenlicht, M. Some basic theorems on algebraic groups, Amer. J. of Math., 78 (1956), 401-443.
Mathematical Reviews (MathSciNet): MR0082183
Zentralblatt MATH: 0073.37601
Digital Object Identifier: doi:10.2307/2372523
[9] Umemura, H. Dimension cohomologique des groupes algebriques commutatifs, Ann, Scien. de Ecole Normle Superieure, 4e series 5 (1972), 265-276.
Mathematical Reviews (MathSciNet): MR0374140
Zentralblatt MATH: 0238.14010
[10] Umemura, H. La dimension cohomologique des surfaces algebriques, Nagoya Math. J., 47 (1972), 155-160. Department of Mathematics Nagoya University
Mathematical Reviews (MathSciNet): MR0316751
Zentralblatt MATH: 0223.14019
Project Euclid: euclid.nmj/1118798690

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