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Jumping Numbers of a Simple Complete Ideal in a Two-Dimensional Regular Local Ring

Jumping Numbers of a Simple Complete Ideal in a Two-Dimensional Regular Local Ring

By: Tarmo Jarvilehto (author)Paperback

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Description

The multiplier ideals of an ideal in a regular local ring form a family of ideals parameterized by non-negative rational numbers. As the rational number increases the corresponding multiplier ideal remains unchanged until at some point it gets strictly smaller. A rational number where this kind of diminishing occurs is called a jumping number of the ideal. In this manuscript the author gives an explicit formula for the jumping numbers of a simple complete ideal in a two-dimensional regular local ring. In particular, he obtains a formula for the jumping numbers of an analytically irreducible plane curve. He then shows that the jumping numbers determine the equisingularity class of the curve.

Product Details

  • ISBN13: 9780821848111
  • Format: Paperback
  • Number Of Pages: 78
  • ID: 9780821848111
  • ISBN10: 0821848119

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