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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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Today’s menu: Geometry and resolution of singular algebraic surfaces
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by E. Faber and H. Hauser PDF
Bull. Amer. Math. Soc. 47 (2010), 373-417 Request permission

Abstract:

The courses are Triviality, Tangency, Transversality, Symmetry, Simplicity, Singularity. These characteristic local plates serve as our invitation to algebraic surfaces and their resolution. Please take a seat.
References
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Additional Information
  • E. Faber
  • Affiliation: Fakultät für Mathematik, Universität Wien, Austria
  • MR Author ID: 921567
  • Email: eleonore.faber@univie.ac.at
  • H. Hauser
  • Affiliation: Fakultät für Mathematik, Universität Wien, Austria
  • MR Author ID: 82620
  • Email: herwig.hauser@univie.ac.at
  • Received by editor(s): July 1, 2009
  • Received by editor(s) in revised form: October 20, 2009
  • Published electronically: March 10, 2010
  • Additional Notes: Both authors have been supported by the Austrian Science Fund (FWF) in the frame of the projects P18992 and P21461. E. F. has been supported by grant F-443 of the University of Vienna. This paper is written for people not necessarily familiar with the advanced techniques of algebraic geometry. Experts are invited to browse through the article for many pictures and a few scattered open problems.
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Bull. Amer. Math. Soc. 47 (2010), 373-417
  • MSC (2000): Primary 14E15; Secondary 32S45
  • DOI: https://doi.org/10.1090/S0273-0979-10-01295-4
  • MathSciNet review: 2651084