Jumping numbers of a simple complete ideal in a two-dimensional regular local ring
著者
書誌事項
Jumping numbers of a simple complete ideal in a two-dimensional regular local ring
（Memoirs of the American Mathematical Society, no. 1009）
American Mathematical Society, c2011
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注記
"November 2011, volume 214, number 1009 (end of volume)."
Includes bibliography (p. 77-78)
内容説明・目次
内容説明
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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