Arithmetic on singular cubic surfaces

Daniel F. Coray

Compositio Mathematica (1976)

  • Volume: 33, Issue: 1, page 55-67
  • ISSN: 0010-437X

How to cite

top

Coray, Daniel F.. "Arithmetic on singular cubic surfaces." Compositio Mathematica 33.1 (1976): 55-67. <http://eudml.org/doc/89297>.

@article{Coray1976,
author = {Coray, Daniel F.},
journal = {Compositio Mathematica},
language = {eng},
number = {1},
pages = {55-67},
publisher = {Noordhoff International Publishing},
title = {Arithmetic on singular cubic surfaces},
url = {http://eudml.org/doc/89297},
volume = {33},
year = {1976},
}

TY - JOUR
AU - Coray, Daniel F.
TI - Arithmetic on singular cubic surfaces
JO - Compositio Mathematica
PY - 1976
PB - Noordhoff International Publishing
VL - 33
IS - 1
SP - 55
EP - 67
LA - eng
UR - http://eudml.org/doc/89297
ER -

References

top
  1. [1] E. Bertini: Introduzione alla Geometria Proiettiva degli Iperspazi. (G. Principato, Messina; 1923). JFM49.0484.08
  2. [2] F. Châtelet: Points rationnels sur certaines surfaces cubiques. Coll. Int. CNRS, Clermont-Ferrand (1964) 67-75. Zbl0178.24101MR213353
  3. [3] J.-L. Colliot-Thélène: Quelques propriétés arithmétiques des surfaces rationnelles. Sém. de Théorie des Nombres, Bordeaux (1971-72) exposé 13; 22p. Zbl0279.14011MR396585
  4. [4] D.F. Coray: Algebraic points on cubic hypersurfaces. Acta Arithmetica, Vol. 30 (to appear). Zbl0294.14012MR429731
  5. [5] F. Enriques & O. Chisini: Lezioni sulla teoria geometrica delle equazioni e delle funzioni algebriche, vol. II. (N. Zanichelli, Bologna; 1918). Zbl0009.15904
  6. [6] H.P. Hudson: On the 3-3 birational transformation in three dimensions. Proc. London Math. Soc., 9 (1911) 51-66. Zbl41.0745.01JFM41.0745.01
  7. [7] Y. Manin: Cubic forms. (North-Holland, Amsterdam; 1974). Zbl0277.14014MR833513
  8. [8] I.R. Šafarevič: Basic Algebraic Geometry. (Springer-Verlag; 1974). Zbl0284.14001MR366917
  9. [9] B. Segre: On arithmetical properties of singular cubic surfaces. J. London Math. Soc., 19 (1944) 84-91. Zbl0060.09208MR12645
  10. [10] B. Segre: Alcune osservazioni sulle superficie cubiche nel campo razionale. Rendiconti Accad. Naz. Lincei, 20 (1956) 147-149. Zbl0074.16401MR80967
  11. [11] J.G. Semple & L. Roth: Introduction to Algebraic Geometry (Clarendon Press, Oxford; 1949). Zbl0041.27903MR34048
  12. [12] TH. Skolem: Einige Bemerkungen über die Auffindung der rationalen Punkte auf gewissen algebraischen Gebilden. Math. Zeitschrift, 63 (1955) 295-312. Zbl0066.39702MR73643
  13. [13] H.P.F. Swinnerton-Dyer: Applications of Algebraic Geometry to Number Theory. Proc. Symp. AMS, 20 (1971) 1-52. Zbl0228.14001MR337951
  14. [14] B.L. Van Der Waerden: Einführung in die algebraische Geometrie. (Springer-Verlag; 1939). Zbl0021.25001JFM65.1393.01
  15. [15] O. Zariski: Algebraic Surfaces. (Springer-Verlag; 1935, 1971). Zbl0219.14020MR469915
  16. [16] O. Zariski: Introduction to the problem of minimal models in the theory of algebraic surfaces. (Publ. Math. Soc. Japan; 1958 / Collected Papers II, p. 277-369). Zbl0093.33904MR97403

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.