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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Reflection groups in algebraic geometry
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by Igor V. Dolgachev PDF
Bull. Amer. Math. Soc. 45 (2008), 1-60 Request permission

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
  • 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.

  • Dedicated: To Ernest Borisovich Vinberg
  • © 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