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Decoupling for certain quadratic surfaces of low co-dimensions

Published 9 Feb 2019 in math.CA and math.NT | (1902.03450v2)

Abstract: We prove sharp $\ell{p}L{p}$ decoupling inequalities for $2$ quadratic forms in $4$ variables. We also recover several previous results (arXiv:1409.1634, arXiv:1501.07224, arXiv:1609.02022, arXiv:1609.04107) in a unified way.

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