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Reflection groups in algebraic geometry
Author:
Igor V. Dolgachev
Journal:
Bull. Amer. Math. Soc. 45 (2008), 1-60
MSC (2000):
Primary 20F55, 51F15, 14E02; Secondary 14J28, 14E07, 14H20, 11H55
Posted:
October 26, 2007
MathSciNet review:
2358376
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Abstract: After a brief exposition of the theory of discrete reflection groups in spherical, euclidean and hyperbolic geometry as well as their analogs in complex spaces, we present a survey of appearances of these groups in various areas of algebraic geometry.
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Additional Information
Igor V. Dolgachev
Affiliation:
Department of Mathematics, University of Michigan, 525 E. University Avenue, Ann Arbor, Michigan 49109
Email:
idolga@umich.edu
DOI:
http://dx.doi.org/10.1090/S0273-0979-07-01190-1
PII:
S 0273-0979(07)01190-1
Received by editor(s):
December 3, 2006
Received by editor(s) in revised form:
May 17, 2007
Posted:
October 26, 2007
Additional Notes:
The author was supported in part by NSF grant no. 0245203.
Dedicated:
To Ernest Borisovich Vinberg
Article copyright:
© Copyright 2007 American Mathematical Society
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