Book contents
- Frontmatter
- Contents
- Preface to the second edition page
- LECTURES ON ALGEBRAIC CYCLES
- 0 Introduction
- 1 Zero-cycles on surfaces
- 2 Curves on threefolds and intermediate jacobians
- 3 Curves on threefolds – the relative case
- 4 K-theoretic and cohomological methods
- 5 Torsion in the Chow group
- 6 Complements on H2(K2)
- 7 Diophantine questions
- 8 Relative cycles and zeta functions
- 9 Relative cycles and zeta functions – continued
- Bibliography
- Index
- References
4 - K-theoretic and cohomological methods
from LECTURES ON ALGEBRAIC CYCLES
Published online by Cambridge University Press: 05 July 2014
Book contents
- Frontmatter
- Contents
- Preface to the second edition page
- LECTURES ON ALGEBRAIC CYCLES
- 0 Introduction
- 1 Zero-cycles on surfaces
- 2 Curves on threefolds and intermediate jacobians
- 3 Curves on threefolds – the relative case
- 4 K-theoretic and cohomological methods
- 5 Torsion in the Chow group
- 6 Complements on H2(K2)
- 7 Diophantine questions
- 8 Relative cycles and zeta functions
- 9 Relative cycles and zeta functions – continued
- Bibliography
- Index
- References
Summary
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- Lectures on Algebraic Cycles , pp. 45 - 58Publisher: Cambridge University PressPrint publication year: 2010
References
[1] , Algebraic K-Theory, Benjamin, New York (1968).
[2] , Introduction to Algebraic K-Theory, Annals of Mathematics Studies, vol. 72, Princeton University Press, Princeton, N.J. (1971).
[3] , Higher algebraic K-theory. I, in Algebraic K-Theory I, Lecture Notes in Math., no. 341, Springer, Berlin (1973).
[4] and , Higher algebraic K-theory. II, pp. 217-240 in Algebraic K-Theory, Lecture Notes in Math., no. 551, Springer, Berlin (1976).
[5] , Algebraic K-Theory, Lecture Notes in Math., no. 76, Springer, Berlin (1968).
[6] and , Gersten's conjecture and the homology of schemes, Ann. Sci. École Norm. Sup. (4), 7 (1974), 181-201 (1975).Google Scholar
[7] , Some exact sequences in the higher K-theory of rings, pp. 211-243 in Algebraic K-Theory I, Lecture Notes in Math., no. 341, Springer, Berlin (1973).
[8] , A duality theorem in the etale cohomology of schemes, pp. 184-198 in Proceedings of a conference on local fields (Driebergen, 1966), Springer, Berlin (1967).
[9] , Dualité dans la cohomologie des espaces localement compacts, Séminaire Bourbaki, Vol. 9, exposé no. 300 (1965), 337-349. [Reprinted Société Mathématique de France, Paris, 1995.]
[10] , On the de Rham cohomology of algebraic varieties, Inst. Hautes Études Sci. Publ. Math., no. 45 (1975), 5-99.
[11] , Cohomologie étale (SGA 4½), Lecture Notes in Math., no. 569, Springer, Berlin (1977).