On the Enriques classification of algebraic surfaces

A. Van de Ven

Séminaire Bourbaki (1976-1977)

  • Volume: 19, page 237-251
  • ISSN: 0303-1179

How to cite

top

Van de Ven, A.. "On the Enriques classification of algebraic surfaces." Séminaire Bourbaki 19 (1976-1977): 237-251. <http://eudml.org/doc/109906>.

@article{VandeVen1976-1977,
author = {Van de Ven, A.},
journal = {Séminaire Bourbaki},
keywords = {Classification of Surfaces; Ruled Surfaces; K3 Surfaces; Enriques Surfaces; Hyperelliptic Surfaces; Abelian Surfaces; Elliptic Surfaces; General Type},
language = {eng},
pages = {237-251},
publisher = {Springer-Verlag},
title = {On the Enriques classification of algebraic surfaces},
url = {http://eudml.org/doc/109906},
volume = {19},
year = {1976-1977},
}

TY - JOUR
AU - Van de Ven, A.
TI - On the Enriques classification of algebraic surfaces
JO - Séminaire Bourbaki
PY - 1976-1977
PB - Springer-Verlag
VL - 19
SP - 237
EP - 251
LA - eng
KW - Classification of Surfaces; Ruled Surfaces; K3 Surfaces; Enriques Surfaces; Hyperelliptic Surfaces; Abelian Surfaces; Elliptic Surfaces; General Type
UR - http://eudml.org/doc/109906
ER -

References

top
  1. [1] M. Artin - On Enriques surfaces, Thesis, Harvard University (1960). 
  2. [2] E. Bombieri and D. Husemöller - Classification and embeddings of surfaces, Algebraic Geometry, Arcata 1974, Proc. Symp. Pure Math., 29 (1975), 329-420. Zbl0326.14009MR506292
  3. [3] E. Bombieri and D. Mumford - Enriques classification of surfaces : II Complex analysis and algebraic geometry, a collection of papers dedicated to K. Kodaira, Shoten, Tokyo and Cambr. Univ. Press, Cambridge (1977) ; III, Inv. Math., 35 (1976), 197-232. Zbl0336.14010MR491720
  4. [4] G. Castelnuovo - Sulle superficie di genere zero, Mem. Soc. It. delle Scienze, (3) 10 (1896), 103-126 = Mem. Scelte307-334, Zanichelli, Bologna (1937). JFM27.0523.01
  5. [5] P. Deligne et M. Rapoport - Les schemas de modules de courbes elliptiques, Lecture Notes in Math., vol. 349, 1975, 143-316, Springer, Berlin-Heidelberg- New York. Zbl0281.14010MR337993
  6. [6] F. Enriques - Le superficie algebriche, Zanichelli, Bologna (1949). Zbl0036.37102MR31770
  7. [7] K. Kodaira - On compact analytic surfaces : I, Ann. of Math., 71 (1960), 111- 152 ; II ibid. 77 (1963), 563-626 ; III, ibid. 78 (1963), 1-40. 
  8. [8] K. Kodaira - On the structure of compact complex analytic surfaces:I,Amer.J.Math.86(1964), 751-198 ; II , ibid,, 88 (1966), 682-721 ; III, ibid., 90 (1968), 55-83 ; IV, ibid., 90 (1968), 1048-1066. Zbl0137.17501MR187255
  9. [9] D. Mumford - Lectures on curves on an algebraic surface, Ann. of Math. Studies, 59 (1966), Princeton Univ. Press, Princeton. Zbl0187.42701MR209285
  10. [10] D. Mumford - Enriques classification of surfaces in chap p : I, Global Analysis Papers in Honour of K. Kodaira, University of Tokyo Press and Princeton Univ. Press (1969). Zbl0188.53201MR254053
  11. [11] A.N. Paršin - Algebraic curves over function fields I, Irv. Akad. Nauk. U.S.S.R., Ser. Math., 32 (1968), [Translation : Math. U.S.S.R. Irv., 2 (1968), 1145-1170]. Zbl0188.53003MR257086
  12. [12] H. Popp - On moduli of algebraic varieties, III : Fine moduli spaces, Comp. Math., 31 (1975), 237-286. Zbl0351.14005MR414552
  13. [13] I.R. Šafarevič et al. - Algebraic surfaces, Proc. Steklov Inst. of Math.Moskwa, (1965),[Translation A.M.S., 1967]. 
  14. [14] I.R. Šafarevič - Le théorème de Torelli pour les surfaces algébriques de type K3 , Actes du congrès int. des math.Nice I, 413-417, Gauthier-Villars, Paris (1971). Zbl0236.14016MR419459
  15. [15] K. Ueno - Classification theory of algebraic varieties and compact complexspaces, Lecture Notes in Math., vol. 439, Springer, Berlin-Heidelber-New York, (1975). Zbl0299.14007MR506253
  16. [16] K. Ueno - Kodaira dimensions for certain fibre spaces, Complex analysis and algebraic geometry, A collection of papers, dedicated to K. Kodaira, ShotenTokyo, and Cambr. Univ. Press, Cambridge, (1977). Zbl0353.14014MR447241
  17. [17] A. van de Ven - Some recent results on surfaces of general type, Sém. Bourbaki, Exposé 500, fév. 1977, dans ce volume, p. - Zbl0432.14023MR521766
  18. [18] E. Viehweg - Canonical divisors and the additivity of the Kodaira dimension for morphisms of relative dimension 1 , Comp. Math.35 (1977), 197-223. Zbl0357.14014MR569690
  19. [19] O. Zariski - On Castelnuovo's criterion of rationality in the theory of algebraic surfaces, III, Ill. J. of Math., 2 (1958), 303-315. Zbl0085.36203MR99990
  20. [20] E. Horikawa - On the periods of Enriques surfaces I,II. Proc. Japan Acad.53 (1977), 124-127, and ibid. Ser A5(1977), 53-55. Zbl0412.14014MR447256
  21. [21] D. Gieseker - Global moduli for surfaces of general type. Invent. Math.43 (1977), 233-282. Zbl0389.14006MR498596

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.