Zariski geometries

Journal of the American Mathematical Society

Volumn 9, Issue 1, 1996, Pages 1-56

  Hrushovski, Ehud ^a,b   Zilber, Boris ^b  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b KEMEROVO STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030542924     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0894-0347-96-00180-4     Document Type: Article

References (55)

1. E. Artin, Geometric algebra, Interscience, New York, 1957; Springer-Verlag, Berlin and New York, 1988. MR 90h:51003
2. E. Artin, Geometric algebra, Interscience, New York, 1957; Springer-Verlag, Berlin and New York, 1988. MR 90h:51003
3. M. Artin, Algebraic spaces, Yale University, 1969. MR 53:10795
4. M. Artin, Algebraic spaces, Yale University, 1969. MR 53:10795
5. E. Bouscaren, Hrushovski's group configuration, The Model Theory of Groups (A. Nesin and A. Pillay, eds.), Notre Dame Math. Lectures, no. 11, Univ. Notre Dame Press, Notre Dame, IN, 1989. CMP 21:09
6. E. Bouscaren, Hrushovski's group configuration, The Model Theory of Groups (A. Nesin and A. Pillay, eds.), Notre Dame Math. Lectures, no. 11, Univ. Notre Dame Press, Notre Dame, IN, 1989. CMP 21:09
7. T. J. Baldwin and A. Lachlan, On strongly minimal sets, J. Symbolic Logic 36 1971, 79-96. MR 44:3851
8. T. J. Baldwin and A. Lachlan, On strongly minimal sets, J. Symbolic Logic 36 1971, 79-96. MR 44:3851
9. G. Cherlin, Groups of small Morley rank, Ann. of Math. Logic 17, 1979, 1-28. MR 81h:03072
10. G. Cherlin, Groups of small Morley rank, Ann. of Math. Logic 17, 1979, 1-28. MR 81h:03072
11. C. C. Chang and H. J. Keisler, Model theory, North-Holland, Amsterdam, 1973. MR 53:12927
12. C. C. Chang and H. J. Keisler, Model theory, North-Holland, Amsterdam, 1973. MR 53:12927
13. D. Evans and E. Hrushovksi, Projective planes in algebraically closed fields, Proc. London Math. Soc. (3) 62, 1991, 1-24. MR 92a:05031
14. D. Evans and E. Hrushovksi, Projective planes in algebraically closed fields, Proc. London Math. Soc. (3) 62, 1991, 1-24. MR 92a:05031
15. M. Fried and M. Jarden, Field arithmetic, Springer-Verlag, Berlin, 1986. MR 89b:12010
16. M. Fried and M. Jarden, Field arithmetic, Springer-Verlag, Berlin, 1986. MR 89b:12010
17. P. Griffiths and J. Harris, Principles of algebraic geometry, Wiley-Interscience, New York, 1978. MR 80b:14001
18. P. Griffiths and J. Harris, Principles of algebraic geometry, Wiley-Interscience, New York, 1978. MR 80b:14001
19. R. Hartshorne, Algebraic geometry, Springer, New York, 1977. MR 57:3116
20. R. Hartshorne, Algebraic geometry, Springer, New York, 1977. MR 57:3116
21. V. Harnik and L. Harrington, Fundamentals of forking, Ann. Pure Appl. Logic 26, (1984). MR 86c:03032
22. V. Harnik and L. Harrington, Fundamentals of forking, Ann. Pure Appl. Logic 26, (1984). MR 86c:03032
23. E. Hrushovski and J. Loveys, Locally modular strongly minimal sets, (to appear).
24. E. Hrushovski and A. Pillay, Weakly normal groups, Logic Colloquium' 85 (Paris), North-Amsterdam, 1987. MR 88e:03051
25. E. Hrushovski and A. Pillay, Weakly normal groups, Logic Colloquium' 85 (Paris), North-Amsterdam, 1987. MR 88e:03051
26. E. Hrushovski, Unimodular minimal structures, J. London Math. Soc. (2) 46, (1992), 385-396. MR 94b:03062
27. E. Hrushovski, Unimodular minimal structures, J. London Math. Soc. (2) 46, (1992), 385-396. MR 94b:03062
28. _, Locally modular regular types, Classification Theory (Chicago 1985) (J. T. Baldwin, ed.), Springer-Verlag, Berlin and New York, 1987. MR 90m:03064
29. _, Locally modular regular types, Classification Theory (Chicago 1985) (J. T. Baldwin, ed.), Springer-Verlag, Berlin and New York, 1987. MR 90m:03064
30. _, A new strongly minimal set, Ann. Pure Appl. Logic 62, (1993), 147-166. MR 94d:03064
31. _, A new strongly minimal set, Ann. Pure Appl. Logic 62, (1993), 147-166. MR 94d:03064
32. _, Strongly minimal expansions of algebraically closed fields, Israel J. Math. 79, (1992), 129-151. MR 95c:03078
33. _, Strongly minimal expansions of algebraically closed fields, Israel J. Math. 79, (1992), 129-151. MR 95c:03078
34. _ Recognizing groups in homogeneous geometries, preprint.
35. _ Almost orthogonal regular types, Ann. Pure Appl. Logic 45, (1989), 139-155. MR 91k:03083
36. _ Almost orthogonal regular types, Ann. Pure Appl. Logic 45, (1989), 139-155. MR 91k:03083
37. _ Kueker's conjecture for stable theories, J. Symbolic Logic 54, (1989), 221-225. MR 90b:03046
38. _ Kueker's conjecture for stable theories, J. Symbolic Logic 54, (1989), 221-225. MR 90b:03046
39. E. Hrushovski and B. Zilber, Zariski geometries, Bull. Amer. Math. Soc. (N.S.) 28, (1993), 315-323. MR 93j:14003
40. E. Hrushovski and B. Zilber, Zariski geometries, Bull. Amer. Math. Soc. (N.S.) 28, (1993), 315-323. MR 93j:14003
41. S. Lang, Introduction to algebraic geometry, Interscience, New York, 1964. MR 20:7021
42. S. Lang, Introduction to algebraic geometry, Interscience, New York, 1964. MR 20:7021
43. A. Macintyre, On aleph-one categorical theories of fields, Fund. Math. 71, (1971), 1-25. MR 45:48
44. A. Macintyre, On aleph-one categorical theories of fields, Fund. Math. 71, (1971), 1-25. MR 45:48
45. M. Morley, Categoricity in power, Trans. Amer. Math. Soc. 114, (1965), 514-538. MR 31:58
46. M. Morley, Categoricity in power, Trans. Amer. Math. Soc. 114, (1965), 514-538. MR 31:58
47. A. Pillay, An introduction to stability theory, Oxford Univ. Press, London and New York, 1983. MR 85i:03104
48. A. Pillay, An introduction to stability theory, Oxford Univ. Press, London and New York, 1983. MR 85i:03104
49. Anand Pillay (forthcoming),
50. Bruno Poizat, Missionary mathematics, J. Symbolic Logic 53, (1988), 137-145. MR 89b:03058
51. Bruno Poizat, Missionary mathematics, J. Symbolic Logic 53, (1988), 137-145. MR 89b:03058
52. A. Weil, On algebraic groups of transformations, Amer. J. Math. 77, (1955), 355-391. MR 17:533e
53. A. Weil, On algebraic groups of transformations, Amer. J. Math. 77, (1955), 355-391. MR 17:533e
54. B. Zilber, The structure of models of uncountably categorical theories, Proc. Internat. Congr. Math. (Warsaw 1983), vol. 1, North-Holland, Amsterdam, 1984, pp. 359-368. MR 87d:03093b
55. B. Zilber, The structure of models of uncountably categorical theories, Proc. Internat. Congr. Math. (Warsaw 1983), vol. 1, North-Holland, Amsterdam, 1984, pp. 359-368. MR 87d:03093b