IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES

We prove an upper bound on the log canonical threshold of a hypersurface that satisfies a certain power condition and use it to prove several generalizations of Igusa’s conjecture on exponential sums, with the log canonical threshold in the exponent of the estimates. We show that this covers optimal...

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Bibliographic Details
Main Authors: RAF CLUCKERS, MIRCEA MUSTAŢĂ, KIEN HUU NGUYEN
Format: Article
Language:English
Published: Cambridge University Press 2019-01-01
Series:Forum of Mathematics, Pi
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508619000039/type/journal_article