Skip to main content

Twisted algebroid curves

  • 343 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 813)

Abstract

This chapter treats, essentially, the problem of classifying singularities of irreducible twisted algebroid curves over an algebraically closed field. Three definitions of equisingularity, which coincide for plane curves with the (a)-equisingularity, are given.

The first one classifies singularities by means of equiresolution of the generic plane projections, the second one by equiresolution using space quadratic transformations, and the third one by the semigroup of values. However, we shall prove that in general they are different. On the other hand, none of them may be considered as a better definition than the other ones.

Keywords

  • Maximal Ideal
  • Plane Curve
  • Parametric Representation
  • Algebraic Closure
  • Characteristic Exponent

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.95
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1980 Springer-Verlag

About this chapter

Cite this chapter

Campillo, A. (1980). Twisted algebroid curves. In: Algebroid Curves in Positive Characteristic. Lecture Notes in Mathematics, vol 813. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090828

Download citation

  • DOI: https://doi.org/10.1007/BFb0090828

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10022-5

  • Online ISBN: 978-3-540-38178-5

  • eBook Packages: Springer Book Archive