JournalsrmiVol. 39, No. 1pp. 283–306

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

  • Shaoming Guo

    University of Wisconsin-Madison, USA

  • Changkeun Oh

    University of Wisconsin-Madison, USA

  • Joris Roos

    University of Massachusetts Lowell, USA

  • Po-Lam Yung

    The Australian National University, Canberra, Australia

  • Pavel Zorin-Kranich

    University of Bonn, Germany
Decoupling for two quadratic forms in three variables: a complete characterization cover
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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, this provides a classification of decoupling inequalities for pairs of quadratic forms in three variables.

Cite this article

Shaoming Guo, Changkeun Oh, Joris Roos, Po-Lam Yung, Pavel Zorin-Kranich, Decoupling for two quadratic forms in three variables: a complete characterization. Rev. Mat. Iberoam. 39 (2023), no. 1, pp. 283–306

DOI 10.4171/RMI/1332