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Algebraic Surfaces

In: Mathematical Models

Author

Listed:
  • Wolf Barth

    (Friedrich-Alexander-Universität Erlangen-Nürnberg, Naturwissenschaftliche Fakultät)

  • Horst Knörrer

    (ETH Zürich, Departement Mathematik)

Abstract

An algebraic surface is the set of zeroes of a polynomial. In our commentaries to the models of algebraic surfaces we shall try to discuss the most interesting aspects of the general theory, as far as these can be seen in the models. The most important invariant of an algebraic surface in space is its degree (or order), i.e . the degree of the polynomial which defines it. Surfaces of order 3: the famous Clebsch diagonal surface and others. Surfaces of order four: Kummer surfaces and others.

Suggested Citation

  • Wolf Barth & Horst Knörrer, 2017. "Algebraic Surfaces," Springer Books, in: Gerd Fischer (ed.), Mathematical Models, edition 2, chapter 0, pages 139-154, Springer.
    • Handle: RePEc:spr:sprchp:978-3-658-18865-8_9
    DOI: 10.1007/978-3-658-18865-8_9
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