Jumping Numbers of a Simple Complete Ideal in a Two-Dimensional Regular Local Ring
Seiten
2011
American Mathematical Society (Verlag)
978-0-8218-4811-1 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-4811-1 (ISBN)
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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.
Erscheint lt. Verlag | 23.12.2011 |
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Reihe/Serie | Memoirs of the American Mathematical Society |
Verlagsort | Providence |
Sprache | englisch |
Gewicht | 155 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 0-8218-4811-9 / 0821848119 |
ISBN-13 | 978-0-8218-4811-1 / 9780821848111 |
Zustand | Neuware |
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