Algebraic equivalence modulo rational equivalence on a cubic threefold
Compositio Mathematica (1972)
- Volume: 25, Issue: 2, page 161-206
- ISSN: 0010-437X
Access Full Article
topHow to cite
topMurre, J. P.. "Algebraic equivalence modulo rational equivalence on a cubic threefold." Compositio Mathematica 25.2 (1972): 161-206. <http://eudml.org/doc/89140>.
@article{Murre1972,
author = {Murre, J. P.},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {161-206},
publisher = {Wolters-Noordhoff Publishing},
title = {Algebraic equivalence modulo rational equivalence on a cubic threefold},
url = {http://eudml.org/doc/89140},
volume = {25},
year = {1972},
}
TY - JOUR
AU - Murre, J. P.
TI - Algebraic equivalence modulo rational equivalence on a cubic threefold
JO - Compositio Mathematica
PY - 1972
PB - Wolters-Noordhoff Publishing
VL - 25
IS - 2
SP - 161
EP - 206
LA - eng
UR - http://eudml.org/doc/89140
ER -
References
top- E. Bombieri And H.P.F. Swinnerton-Dyer [1] On the local zeta function of a cubic threefold. Annali Scuola Norm. Sup. di Pisa21 (1967), 1-29. Zbl0153.50501MR212019
- W.L. Chow [2] On equivalence classes of cycles in an algebraic variety. Annals of Math.64 (1956), 450-479. Zbl0073.37304MR82173
- C.H. Clemens And P.A. Griffiths [3] The intermediate Jacobian of the cubic three fold. Annals of Math.95 (1972), 281-356. Zbl0214.48302MR302652
- A. Grothendieck [4] Sur quelques propriétés fondamentales en théorie des intersections. Exposé 4; Séminaire C. Chevalley: Anneaux de Chow (1958), p. 4.01-4.36.
- D. Mumford [5] Prym varieties. To be published. [6] The intermediate Jacobian of the cubic threefold. Private paper.
- J.P. Murre [7] Intersection multiplicities of maximal connected bunches. Amer. J. of Math.80 (1958), 311-330. Zbl0083.36801MR93523
- L. Roth AND J.G. Semple [8] Introduction to algebraic geometry. Oxford. Clarendon Press, 1949. Zbl0041.27903MR34048
- P. Samuel [9] Relations d'équivalence en géométrie algébrique. Proc. Internat. Congress Math. Edinburgh1958, 470-487. Zbl0119.36901MR116010
- A. Weil [10] Foundations of Algebraic Geometry. Amer. Math. Soc. Coll. Publ. 29, 2nd Ed. 1962. Zbl0168.18701MR144898
- O. Zariski [11] Introduction to the problem of minimal models in the theory of algebraic surfaces. Publ. of the Math. Soc. Japan4, 1958. Zbl0093.33904MR97403
- A.M. Šermenev [12] On the motif of a cubic hypersurface. Izvestija Akad. Nauk S.S.S.R.34 (1970), 515-522 (Russian). Translation: Math. of U.S.S.R.4 (1970), 520-526. Zbl0234.14013MR262245
Citations in EuDML Documents
top- J. P. Murre, Reduction of the proof of the non-rationality of a non-singular cubic threefold to a result of mumford
- S. Bloch, J. P. Murre, On the Chow group of certain types of Fano threefolds
- Luciana Picco Botta, Alessandro Verra, The non rationality of the generic Enriques' threefold
- Allen B. Altman, Steven L. Kleiman, Foundations of the theory of Fano schemes
- Chad Schoen, On Hodge structures and non-representability of Chow groups
- Arnaud Beauville, Variétés de Prym et jacobiennes intermédiaires
- Noriyuki Suwa, Sur l'image de l'application d'Abel-Jacobi de Bloch
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.