Generic simple coverings of the affine plane

Joseph Blass; Piotr Blass; Jeffrey Lang

Compositio Mathematica (1994)

  • Volume: 93, Issue: 3, page 243-253
  • ISSN: 0010-437X

How to cite


Blass, Joseph, Blass, Piotr, and Lang, Jeffrey. "Generic simple coverings of the affine plane." Compositio Mathematica 93.3 (1994): 243-253. <>.

author = {Blass, Joseph, Blass, Piotr, Lang, Jeffrey},
journal = {Compositio Mathematica},
keywords = {simple coverings of the affine plane; class group of surface; divisor class group},
language = {eng},
number = {3},
pages = {243-253},
publisher = {Kluwer Academic Publishers},
title = {Generic simple coverings of the affine plane},
url = {},
volume = {93},
year = {1994},

AU - Blass, Joseph
AU - Blass, Piotr
AU - Lang, Jeffrey
TI - Generic simple coverings of the affine plane
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 93
IS - 3
SP - 243
EP - 253
LA - eng
KW - simple coverings of the affine plane; class group of surface; divisor class group
UR -
ER -


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  2. 2 Blass, P. and Lang, J., Zariski Surfaces and Differential Equations in Characteristic p &gt; 0, Marcel Decker, Monographs in Pure and Applied Math., 106, 1987. Zbl0614.14011MR879599
  3. 3 Fossum, R., The Divisor Class Group of a Krull Domain, Springer-Verlag, New York, 1973. Zbl0256.13001MR382254
  4. 4 Grant, A. and Lang, J., Applications of the fundamental group and purely inseparable descent to the study of curves on Zariski surfaces, J. Alg., 132:2 (1990), 340-360. Zbl0738.14021MR1061484
  5. 5 Lang, J., The divisor class group of the surface zpm = G(x, y) over fields of characteristic p &gt; 0, J. Alg., 84 (1983). Zbl0528.14017MR723398
  6. 6 Lang, J., Generic Zariski surfaces, Compositio Mathematica, 73 (1990), 345-361. Zbl0738.14022MR1044434
  7. 7 Samuel, P., Lectures on unique factorization domains, Tata Lectures Notes, 1964. Zbl0184.06601MR214579
  8. 8 Shafarevich, I.R., Basic Algebraic Geometry, Grundlehren Math. Wiss., No. 213, Springer-Verlag, Heidelberg, 1974. Zbl0284.14001MR366917
  9. 9 Steenbrink, J., On the Picard Groups of Certain Smooth Surfaces in Weighted Projective Spaces, LNM, 961, Springer-Verlag, 1982, pp. 302-313. Zbl0507.14025MR708341

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