Keywords
- Abelian Variety
- Jacobian Variety
- Chow Ring
- Principal Polarization
- Prym Variety
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
M. Artin, Faisceaux constructible. Cohomologie d’une courbe algébrique; Exposé IX in S.G.A. 4, I.H.E.S. Lecture Notes in Math. no. 305, Springer 1973.
M. Artin and D. Mumford, Some elementary examples of unirational varieties which are not rational; Proc.London Math.Soc., 25, 1972.
E. Bombieri and H.P.F. Swinnerton-Dyer, On the local zeta function of a cubic threefold; Ann.Sc.Norm.Sup.Pisa, 21, 1967.
C. Chevalley, Anneaux de Chow; Séminaire Paris 1958.
W.L. Chow, On equivalence classes of cycles in an algebraic variety; Annals of Math., 64, 1956.
C.H. Clemens and P.A. Griffiths, The intermediate Jacobian of the cubic threefold; Annals of Math.,95,1972.
G. Fano, Sul sistema ∞2 di rette contenuto in una varietà cubica generale dello spazio a quattro dimensioni; Atti R.Acc.Sc. Torino, 39,1904.
A. Grothendieck, Sur quelques propriétés fondamentales en théorie des intersections; Exposé 4, Séminaire Chevalley: Anneaux de Chow, Paris 1958.
S.L. Kleiman, Algebraic cycles and Weil conjectures; Dix exposés sur la cohomologie des schémas, North-Holland, 1968.
D. Mumford, Abelian Varieties; Bombay, Oxford Univ.Press, 1970.
D. Mumford, Prym Varieties; to appear.
J.P. Murre, Algebraic equivalence modulo rational equivalence on a cubic threefold; Compositio Math.,25,1972.
J.P. Murre, Reduction of the proof of the non-rationality of a non-singular cubic threefold to a result of Mumford; Compositio Math.,27,1973.
A.N. Tyurin, Five lectures on three-dimensional varieties; Russian Math. Surveys Vol. 27, 1972.
J.L. Verdier, A duality theorem in the étale cohomology of schemes; Proc. conference on Local Fields, Springer, 1967.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1974 Springer-Verlag
About this paper
Cite this paper
Murre, J.P. (1974). Some results on cubic threefolds. In: Popp, H. (eds) Classification of Algebraic Varieties and Compact Complex Manifolds. Lecture Notes in Mathematics, vol 412. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066158
Download citation
DOI: https://doi.org/10.1007/BFb0066158
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06951-5
Online ISBN: 978-3-540-37877-8
eBook Packages: Springer Book Archive
