bookCambridge University Press eBooksAug 16, 2012Closed access

Classical Algebraic Geometry

University of Michigan

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Abstract

Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is…

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Topics & keywords

Keywords
  • Algebraic geometry
  • Algebraic surface
  • Function field of an algebraic variety
  • Real algebraic geometry
  • Algebraic number
  • Algebraic cycle
  • Algebraic geometry and analytic geometry
  • Algebra over a field
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