Skip to main content

Algebraic Surfaces

  • Chapter
  • First Online:
Mathematical Models

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Fachmedien Wiesbaden GmbH

About this chapter

Cite this chapter

Barth, W., Knörrer, H. (2017). Algebraic Surfaces. In: Fischer, G. (eds) Mathematical Models. Springer Spektrum, Wiesbaden. https://doi.org/10.1007/978-3-658-18865-8_9

Download citation

Publish with us

Policies and ethics