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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
DOI: https://doi.org/10.1090/S0273-0979-07-01190-1
Published electronically: 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: https://doi.org/10.1090/S0273-0979-07-01190-1
Received by editor(s): December 3, 2006
Received by editor(s) in revised form: May 17, 2007
Published electronically: 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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