Book Review
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MathSciNet review:
2995001
Full text of review:
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Book Information:
Author:
Boris Zilber
Title:
Zariski geometries. Geometry from the logician’s point of view
Additional book information:
London Mathematical Society Lecture Note Series, Vol. 360,
Cambridge University Press,
Cambridge,
2010,
xii+212 pp.,
ISBN 978-0-521-73560-5
Ehud Hrushovski, A new strongly minimal set, Ann. Pure Appl. Logic 62 (1993), no. 2, 147–166. Stability in model theory, III (Trento, 1991). MR 1226304, DOI 10.1016/0168-0072(93)90171-9
Ehud Hrushovski, The Mordell-Lang conjecture for function fields, J. Amer. Math. Soc. 9 (1996), no. 3, 667–690. MR 1333294, DOI 10.1090/S0894-0347-96-00202-0
Ehud Hrushovski and Boris Zilber, Zariski geometries, J. Amer. Math. Soc. 9 (1996), no. 1, 1–56. MR 1311822, DOI 10.1090/S0894-0347-96-00180-4
E. R. Kolchin, Differential algebra and algebraic groups, Pure and Applied Mathematics, Vol. 54, Academic Press, New York-London, 1973. MR 0568864
Rahim Moosa, Model theory and complex geometry, Notices Amer. Math. Soc. 57 (2010), no. 2, 230–235. MR 2604490
Anand Pillay and Gabriel Srour, Closed sets and chain conditions in stable theories, J. Symbolic Logic 49 (1984), no. 4, 1350–1362. MR 771800, DOI 10.2307/2274284
Anand Pillay, Model theory, Notices Amer. Math. Soc. 47 (2000), no. 11, 1373–1381. MR 1794129
References
- E. Hrushovski, A new strongly minimal set, Ann. Pure Appl. Logic, 52 (1993), 147–160. MR 1226304 (94d:03064)
- E. Hrushovski, The Mordell-Lang conjecture for function fields, Jour. Amer. Math. Soc., 9 (1996), 667–690. MR 1333294 (97h:11154)
- E. Hrushovski and B. Zilber, Zariski geometries, Jour. Amer. Math. Soc., 9 (1996), 1–55. MR 1311822 (96c:03077)
- E. Kolchin, Differential Algebra and Algebraic Groups, Academic Press, New York–London, 1973. MR 0568864 (58:27929)
- R. Moosa, Model theory and complex geometry, Notices Amer. Math. Soc., 57 (2010), no. 2, 230–235. MR 2604490
- A. Pillay and G. Srour, Closed sets and chain conditions in stable theories, J. Symbolic Logic, 49 (1984), 1350–1362. MR 771800 (86h:03056)
- A. Pillay, Model theory, Notices Amer. Math. Soc., 47 (2000), no. 11, 1373–1381. MR 1794129 (2001k:03062)
Review Information:
Reviewer:
Anand Pillay
Affiliation:
School of Mathematics, University of Leeds, United Kingdom
Email:
pillay@maths.leeds.ac.uk
Journal:
Bull. Amer. Math. Soc.
50 (2013), 175-180
DOI:
https://doi.org/10.1090/S0273-0979-2012-01373-3
Published electronically:
February 28, 2012
Additional Notes:
Thanks to Masoud Khalkhali, Katrin Tent, and the editor for helpful comments
Review copyright:
© Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
