On the motivic oscillation index and bound of exponential sums modulo \(p^m\) via analytic isomorphisms
DOI10.1016/j.matpur.2021.05.009zbMath1485.11122arXiv2008.11637OpenAlexW3172856518WikidataQ115568982 ScholiaQ115568982MaRDI QIDQ2065077
Publication date: 7 January 2022
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.11637
exponential sumsnon-rational singularitiesIgusa's conjectureIgusa's local zeta functionsanalytic isomorphism of singularitiesmotivic oscillation index
Singularities in algebraic geometry (14B05) Estimates on exponential sums (11L07) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Étale and other Grothendieck topologies and (co)homologies (14F20) Germs of analytic sets, local parametrization (32B10) Zeta functions and (L)-functions (11S40) Model theory (number-theoretic aspects) (11U09) Applications of model theory (03C98)
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