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Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions

Article ID Journal Published Year Pages File Type
5778342 Advances in Mathematics 2017 49 Pages PDF
Abstract
We prove a sharp decoupling for a certain two dimensional surface in R9. As an application, we obtain the full range of expected estimates for the cubic Parsell-Vinogradov system in two dimensions.
Keywords
11L0742A45primarysecondaryTransversality conditions
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Preview
Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions
Authors
Jean Bourgain, Ciprian Demeter, Shaoming Guo,
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Journal
Advances in Mathematics
Journal: Advances in Mathematics
Related Categories
11L07
42A45
primary
secondary
Transversality conditions
Algebra and Number Theory
Analysis
Applied Mathematics
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