Decoupling for complex curves and improved decoupling for the cubic moment curve
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866912932734959616 |
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| author | Schippa, Robert |
| author_facet | Schippa, Robert |
| contents | We prove sharp $\ell^2$-decoupling inequalities for non-degenerate complex curves via the bilinear argument due to Guo--Li--Yung--Zorin-Kranich, which in turn is inspired by the efficient congruencing argument of Wooley. Secondly, quantifying the iteration in the cubic case, we obtain a logarithmic refinement of the decoupling inequality for the cubic moment curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_10884 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Decoupling for complex curves and improved decoupling for the cubic moment curve Schippa, Robert Classical Analysis and ODEs We prove sharp $\ell^2$-decoupling inequalities for non-degenerate complex curves via the bilinear argument due to Guo--Li--Yung--Zorin-Kranich, which in turn is inspired by the efficient congruencing argument of Wooley. Secondly, quantifying the iteration in the cubic case, we obtain a logarithmic refinement of the decoupling inequality for the cubic moment curve. |
| title | Decoupling for complex curves and improved decoupling for the cubic moment curve |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2302.10884 |