Decoupling for two quadratic forms in three variables: a complete characterization
Classical Analysis and ODEs
2023-07-25 v2 Number Theory
Abstract
We prove sharp decoupling inequalities for all degenerate surfaces of codimension two in 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.
Cite
@article{arxiv.1912.03995,
title = {Decoupling for two quadratic forms in three variables: a complete characterization},
author = {Shaoming Guo and Changkeun Oh and Joris Roos and Po-Lam Yung and Pavel Zorin-Kranich},
journal= {arXiv preprint arXiv:1912.03995},
year = {2023}
}
Comments
v2: 19 pages, small corrections following referee report