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

• Shaoming Guo ^[1] ; Changkeun Oh ^[1] ; Joris Roos ^[2] ; Po-Lam Yung ^[3] ; Pavel Zorin-Kranich ^[4]
  1. [1] University of Wisconsin–Madison

     University of Wisconsin–Madison

     City of Madison, Estados Unidos

     
  2. [2] University of Massachusetts Lowell

     University of Massachusetts Lowell

     City of Lowell, Estados Unidos

     
  3. [3] Australian National University

     Australian National University

     Australia

     
  4. [4] University of Bonn

     University of Bonn

     Kreisfreie Stadt Bonn, Alemania

     

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 39, Nº 1, 2023, págs. 283-306
• Idioma: inglés
• DOI: 10.4171/RMI/1332
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• Resumen

  • 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, this provides a classification of decoupling inequalities for pairs of quadratic forms in three variables.