Picard groups of Zariski surfaces

Piotr Blass

Compositio Mathematica (1985)

  • Volume: 54, Issue: 1, page 3-36
  • ISSN: 0010-437X

How to cite


Blass, Piotr. "Picard groups of Zariski surfaces." Compositio Mathematica 54.1 (1985): 3-36. <http://eudml.org/doc/89680>.

author = {Blass, Piotr},
journal = {Compositio Mathematica},
keywords = {factorial ring; generic Zariski surface; Picard group},
language = {eng},
number = {1},
pages = {3-36},
publisher = {Martinus Nijhoff Publishers},
title = {Picard groups of Zariski surfaces},
url = {http://eudml.org/doc/89680},
volume = {54},
year = {1985},

AU - Blass, Piotr
TI - Picard groups of Zariski surfaces
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 54
IS - 1
SP - 3
EP - 36
LA - eng
KW - factorial ring; generic Zariski surface; Picard group
UR - http://eudml.org/doc/89680
ER -


  1. [1] P. Blass: Some geometric applications of a differential equation in characteristic p &gt; 0 to the theory of algebraic surfaces, to appear in AMS, Contemporary Mathematics, volume containing the Proceedings of the conference in Honor of N. Jacobson. Zbl0561.14018
  2. [2] P. Deligne and N. Katz: SGA 7, Part II, Lecture Notes in Mathematics340Springer Verlag, Berlin (1973). Zbl0258.00005MR354657
  3. [3] A. Grothendieck: SGA I, Lecture Notes in Mathematics224, Springer VerlagBerlin1971. Zbl0234.14002
  4. [4] R. Hartshorne: Equivalence relations on algebraic cycles and subvarieties of small codimension. Proceedings of Symposia in Pure Mathematics, AMS, XXIX (Arcata), published 1975 (corollary 3.5). Zbl0314.14001MR369359
  5. [5] R. Hartshorne: Algebraic Geometry. Graduate Texts in Mathematics, Springer, Verlag, Berlin1977. Zbl0367.14001MR463157
  6. [6] J. Lang: Ph.D. Thesis, Purdue University, 1981. 
  7. [7] W.E. Lang, Remarks on p-torsion of algebraic surfaces, Comp. Math.52(2) (1984) 197-202. Zbl0583.14012MR750355
  8. [8] A.N. Rudakov and I.R. Šafarevič:Supersingular K3 surfaces over fields of characteristic two, Math. USSR-Izv13 (1979) 147-165. Zbl0424.14008
  9. [9] P. Samuel: Lectures on UFD'sTata Lecture Notes, Bombay1964. 
  10. [10] J. Steenbrink: On the Picard group of certain smooth surfaces in weighted projective spaces. In: Algebraic Geometry, Proceedings La Rábida 1981. Lecture Notes in Mathematics961, Springer Verlag, Berlin etc. 1982, pp. 302-313. Zbl0507.14025MR708341

NotesEmbed ?


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.