Multiplier ideals, b-function, and spectrum of a hyperplane singularity
نویسندگان
چکیده
We show a converse of a theorem of Ein, Lazarsfeld, Smith, and Varolin on the relation between the jumping coefficients and the roots of the Bernstein-Sato polynomial under certain hypotheses without which the assertion does not hold. For an explicit calculation we prove a formula for the multiplier ideals of stratified locally conical divisors, generalizing a formula of Mustata for a hyperplane arrangement with a reduced equation. Using these, we can calculate partially the spectrum in certain cases.
منابع مشابه
MULTIPLIER IDEALS, b-FUNCTION, AND SPECTRUM OF A HYPERSURFACE SINGULARITY
We prove that certain roots of the Bernstein-Sato polynomial (i.e. b-function) are jumping coefficients up to a sign, showing a partial converse of a theorem of L. Ein, R. Lazarsfeld, K.E. Smith, and D. Varolin. We also prove that certain roots are determined by a filtration on the Milnor cohomology, generalizing a theorem of B. Malgrange in the isolated singularity case. This implies a certain...
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