Jumping numbers of a simple complete ideal in a two-dimensional regular local ring / Tarmo Järvilehto
Type de document : MonographieCollection : Memoirs of the American Mathematical Society, 1009Langue : anglais.Pays: Etats Unis.Éditeur : Providence (R.I.) : American Mathematical Society, 2011Description : 1 vol. (VII-78 p.) : fig. ; 26 cmISBN: 9780821848111.ISSN: 0065-9266.Bibliographie : Bibliogr. p. 77-78.Sujet MSC : 13H05, Commutative algebra - Local rings and semilocal rings, Regular local rings13-02, Research exposition (monographs, survey articles) pertaining to commutative algebra
14B05, Local theory in algebraic geometry, SingularitiesEn-ligne : ArXiv
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | Séries AMS (Browse shelf(Opens below)) | Available | 08223-01 |
Bibliogr. p. 77-78
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. (Source : AMS)
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