Jumping numbers of a simple complete ideal in a two-dimensional regular local ring /
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| Author / Creator: | Jarvilehto, Tarmo, 1965- |
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| Imprint: | Providence, R.I. : American Mathematical Society, 2011. |
| Description: | vii, 78 p. : ill. ; 26 cm. |
| Language: | English |
| Series: | Memoirs of the American Mathematical Society, 0065-9266 ; no. 1009 Memoirs of the American Mathematical Society ; no. 1009. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8515855 |
| Summary: | 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. |
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| Item Description: | "November 2011, volume 214, number 1009 (end of volume)." |
| Physical Description: | vii, 78 p. : ill. ; 26 cm. |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9780821848111 0821848119 |
| ISSN: | 0065-9266 ; |
