Decoupling for two quadratic forms in three variables: a complete characterization

Shaoming Guo, Changkeun Oh, Joris Roos, Po-Lam Yung, Pavel Zorin-Kranich

Research output: Working paper

Abstract

We prove sharp decoupling inequalities for all degenerate surfaces of codimension two in R5 given by two quadratic forms in three variables. Together with previous work by Demeter, Guo, and Shi in the non-degenerate case (arXiv:1609.04107), this provides a classification of decoupling inequalities for pairs of quadratic forms in three variables.
Original languageEnglish
PublisherArXiv
Number of pages19
Publication statusPublished - 9 Dec 2019

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