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- W2950528778 abstract "If R is a local ring of dimension n, of a smooth complex variety, and if I is a zero dimensional ideal in R, then we prove that e(I)geq n^n/lc(I)^n. Here e(I) is the Samuel multiplicity along I, and lc(I) is the log canonical threshold of (R,I). We show that equality is achieved if and only if the integral closure of I is a power of the maximal ideal. When I is an arbitrary ideal, but n=2, we give a similar bound involving the Segre numbers of I." @default.
- W2950528778 created "2019-06-27" @default.
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- W2950528778 date "2002-05-15" @default.
- W2950528778 modified "2023-10-17" @default.
- W2950528778 title "Multiplicities and log canonical threshold" @default.
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