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Teaching the Geometry of Schemes

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Computations in Algebraic Geometry with Macaulay 2

Part of the book series: Algorithms and Computation in Mathematics ((AACIM,volume 8))

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Abstract

This chapter presents a collection of graduate level problems in algebraic geometry illustrating the power of Macaulay 2 as an educational tool.

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References

  1. Neil Chriss and Victor Ginzburg: Representation theory and complex geometry. Birkhäuser Boston Inc., Boston, MA, 1997.

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  2. David Cox, John Little, and Donal O’Shea: Ideals, varieties, and algorithms. Springer-Verlag, New York, second edition, 1997. An introduction to computational algebraic geometry and commutative algebra.

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  3. David Cox, John Little, and Donal O’Shea: Using algebraic geometry. Springer-Verlag, New York, 1998.

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  4. David Eisenbud: Commutative algebra with a view toward algebraic geometry. Springer-Verlag, New York, 1995.

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  5. David Eisenbud and Joe Harris: The geometry of schemes. Springer-Verlag, New York, 2000.

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  6. Joe Harris: Algebraic geometry, A first course. Springer-Verlag, New York, 1995.

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Authors
  1. Gregory G. Smith
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  2. Bernd Sturmfels
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Editor information

Editors and Affiliations

  1. Mathematical Sciences, Research Institute, 1000 Centennial Drive, Berkeley, CA, 94720, USA

    David Eisenbud

  2. Department of Mathematics, Cornell University, Ithaca, NY, 14853, USA

    Michael Stillman

  3. Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA

    Daniel R. Grayson

  4. Department of Mathematics, University of California, Berkeley, CA, 94720, USA

    Bernd Sturmfels

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© 2002 Springer-Verlag Berlin Heidelberg

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Smith, G.G., Sturmfels, B. (2002). Teaching the Geometry of Schemes. In: Eisenbud, D., Stillman, M., Grayson, D.R., Sturmfels, B. (eds) Computations in Algebraic Geometry with Macaulay 2. Algorithms and Computation in Mathematics, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04851-1_4

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  • DOI: https://doi.org/10.1007/978-3-662-04851-1_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07592-6

  • Online ISBN: 978-3-662-04851-1

  • eBook Packages: Springer Book Archive

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