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Families of Affine Fibrations

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Book cover Symmetry and Spaces

Part of the book series: Progress in Mathematics ((PM,volume 278))

Summary

This paper gives a method of constructing affine fibrations for polynomial rings. The method can be used to construct the examples of \(\mathbb {A}\) 2-fibrations in dimension 4 due to Bhatwadekar and Dutta (1994) and Vènèreau (2001). The theory also provides an elegant way to provemany of the known results for these examples.

Mathematics Subject Classification (2000): 14R25,14R10

To Gerry Schwarz on his 60th birthday

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Ottawa, Ottawa, Canada, K1N 6N5

    Daniel Daigle

  2. Department of Mathematics, Western Michigan University, Kalamazoo, Michigan, 49008-5248, USA

    Gene Freudenburg

Authors
  1. Daniel Daigle
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  2. Gene Freudenburg
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Corresponding author

Correspondence to Daniel Daigle .

Editor information

Editors and Affiliations

  1. Dept. Mathematics, University of New Brunswick, Fredericton, E3B 5A3, Canada

    H. E. A. Campbell

  2. Dept. Mathematics, North Carolina State University, Harrelson Hall 255, Raleigh, 27695, U.S.A.

    Aloysius G. Helminck

  3. Inst. Mathematik, Universität Basel, Rheinsprung 21, Basel, 4051, Switzerland

    Hanspeter Kraft

  4. Dept. Mathematics & Statistics, Queen's University, Kingston, University Ave. 99, Kingston, K7L 3N6, Canada

    David Wehlau

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Daigle, D., Freudenburg, G. (2010). Families of Affine Fibrations. In: Campbell, H., Helminck, A., Kraft, H., Wehlau, D. (eds) Symmetry and Spaces. Progress in Mathematics, vol 278. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4875-6_3

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