Reflection groups in algebraic geometry
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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.References
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Additional Information
- Igor V. Dolgachev
- Affiliation: Department of Mathematics, University of Michigan, 525 E. University Avenue, Ann Arbor, Michigan 49109
- MR Author ID: 58860
- Email: idolga@umich.edu
- 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.
- © Copyright 2007 American Mathematical Society
- 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
- MathSciNet review: 2358376
Dedicated: To Ernest Borisovich Vinberg