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