Generic Zariski surfaces

 Access to full text

 Full (PDF)

1. 1 P. Blass, Picard groups of Zariski surfaces. I. Comp. Math.54 (1985) 3-86. Zbl0624.14021MR782383
2. 2 P. Blass and J. Lang, Zariski Surfaces and Differential Equations in Characteristic p > 0. Monographs and Textbooks in Pure and Applied Mathematics, No. 106, Marcel Decker, New York (1987). Zbl0614.14011MR879599
3. 3 P. Blass and J. Lang, A method for computing the kernel of a map of divisor classes of local rings in characteristic p ≠ 0, Mich. Math. J.35 (1988). Zbl0655.13023MR931940
4. 4 P. Blass and J. Lang, Surfaces de Zariski factorielles, C. R. Acad. Sc. Paris, T. 306, Série I, (1988). Zbl0671.14025MR944408
5. 5 P. Deligne and N. Katz, Groupes de Monodromie en Geometrie Algébrique, Lecture Notes in Mathematics340, Springer-Verlag, 1973. Zbl0258.00005MR354657
6. 6 A. Grant and J. Lang, Applications of the fundamental group and purely inseparable descent to the study of curves on Zariski surfaces, to appear in the Journal of Algebra. Zbl0738.14021
7. 7 A. Grothendieck, SGAI, Lecture Notes in Mathematics, No. 224, Springer-Verlag, New York, 1971. Zbl0234.14002MR354651
8. 8 R. Hartshorne, Equivalence relations on algebraic cycles and subvarieties of small codimension, Proc. Symp. Pure Math., 29 (Arcata), American Mathematical Society (1975). Zbl0314.14001MR369359
9. 9 R. Hartshorne, Algebraic Geometry. Springer-Verlag, New York (1977). Zbl0367.14001MR463157
10. 10 J. Lang, The divisor class group of the surface zpm = G(x, y) over fields of characteristic p > 0. J. Alg.84, 2 (1983). Zbl0528.14017MR723398
11. 11 J. Lang, The factoriality of Zarisksi rings. Compositio Mathematica (1987). Zbl0631.13017MR909383
12. 12 W.E. Lang, Remarks on p-torsion of algebraic surfaces, Compositio Math., 52 (2), (1984) 197-202. Zbl0583.14012MR750355
13. 13 M. Nagata, Local Rings. John Wiley & Sons, Inc. (1962). Zbl0123.03402MR155856
14. 14 M. Nagata, Field Theory. Marcel Dekker, Inc. (1977). Zbl0366.12001MR469887
15. 15 M. Raynaud, Anneaux Locaux Henséliens, Lecture Notes in Mathematics, Springer-Verlag, 1970. Zbl0203.05102MR277519
16. 16 P. Samuel, Lectures on Unique Factorization Domains. Tata Lecture Notes (1964). Zbl0184.06601MR214579
17. 17 O. Zariski and P. Samuel, Commutative Algebra, D. Van Nostrand Co., Inc. (1960). Zbl0121.27801MR120249

1. Joseph Blass, Piotr Blass, Jeffrey Lang, Generic simple coverings of the affine plane