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Computations in Algebraic Geometry with Macaulay 2 pp 3–15Cite as

Ideals, Varieties and Macaulay 2

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

Abstract

This chapter introduces Macaulay 2 commands for some elementary computations in algebraic geometry. Familiarity with Gröbner bases is assumed.

Partially supported by the National Science Foundation (DMS-9970254)

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References

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

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  3. Ezra Miller and Bernd Sturmfels: Monomial ideals and planar graphs. In S. Lin M. Fossorier, H. Imai and A. Poli, editors ,Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, volume 1719 of Springer Lecture Notes in Computer Science, pages 19–28, 1999.

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Authors
  1. 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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Sturmfels, B. (2002). Ideals, Varieties and Macaulay 2 . 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_1

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  • DOI: https://doi.org/10.1007/978-3-662-04851-1_1

  • 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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