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Algebraic Varieties

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Variations on a Theme of Euler

Part of the book series: The University Series in Mathematics ((USMA))

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Abstract

We learn from history that many concrete studies of geometric figures, such as conic sections, quadratic surfaces, elliptic quartic curves, etc., grew into algebraic geometry in modern times. Today however we have a nice basic algebraic geometry at hand; why do we not use it to study those quadratic figures more effectively than mathematicians of the Renaissance did?

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References

  1. M. Bôcher, Introduction to Higher Algebra, Macmillan, New York (1935).

    Google Scholar 

  2. J. Dieudonné, Sur les groupes classiques, Actual. Scient, et Ind., Hermann, Paris (1948).

    Google Scholar 

  3. W. Fulton, Algebraic Curves, W. A. Benjamin, New York (1969).

    MATH  Google Scholar 

  4. J. Harris, Algebraic Geometry, a First Course, Grad. Texts in Math., 133, Springer (1992).

    MATH  Google Scholar 

  5. R. Hartshorne, Algebraic Geometry, Grad. Texts in Math., 52, Springer (1977).

    MATH  Google Scholar 

  6. S. Iyanaga, Introduction to Geometry, Iwanami, Tokyo (1968).

    MATH  Google Scholar 

  7. T. Y. Lam, Algebraic Theory of Quadratic Forms, W. A. Benjamin, Reading, MA (1973).

    MATH  Google Scholar 

  8. M. Namba, Geometry of Projective Algebraic Curves, Marcel Dekker, New York (1984).

    MATH  Google Scholar 

  9. A. Robert, Introduction to Algebraic Geometry through Affine Algebraic Groups, Queen’s papers in pure and applied math., 44, Kingston, Canada (1976).

    MATH  Google Scholar 

  10. I. R. Shafarevich, Basic Algebraic Geometry, Die Grund, d. math. Wiss., 213, Springer (1977).

    MATH  Google Scholar 

  11. J. A. Todd, Projective and Analytical Geometry, Pitman, London (1947).

    MATH  Google Scholar 

  12. O. Zariski and P. Samuel, Commutative Algebra, I, II, D. Van Nostrand, Princeton, NJ, (1958, 1960).

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. The Johns Hopkins University, Baltimore, Maryland, USA

    Takashi Ono

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  1. Takashi Ono
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© 1994 Takashi Ono

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Cite this chapter

Ono, T. (1994). Algebraic Varieties. In: Variations on a Theme of Euler. The University Series in Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2326-7_3

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  • DOI: https://doi.org/10.1007/978-1-4757-2326-7_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-3241-9

  • Online ISBN: 978-1-4757-2326-7

  • eBook Packages: Springer Book Archive

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