Decoupling for complex curves and improved decoupling for the cubic moment curve

Published 21 Feb 2023 in math.CA | (2302.10884v2)

Abstract: We prove sharp $\ell^{2$-decoupling} inequalities for non-degenerate complex curves via the bilinear argument due to Guo--Li--Yung--Zorin-Kranich. Secondly, quantifying the iteration in the cubic case, we obtain a logarithmic refinement of the decoupling inequality for the cubic moment curve.

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Robert Schippa

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