THE PURITY LOCUS OF MATRIX KLOOSTERMAN SUMS

Márton Erdélyi, Will Sawin, Árpád Tóth

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We construct a perverse sheaf related to the the matrix exponential sums investigated by Erdélyi and Tóth [Matrix Kloosterman sums, 2021, arXiv:2109.00762]. As this sheaf appears as a summand of certain tensor product of Kloosterman sheaves, we can establish the exact structure of the cohomology attached to the sums by relating it to the Springer correspondence and using the recursion formula of Erdélyi and Tóth.

Original languageEnglish (US)
Pages (from-to)4117-4132
Number of pages16
JournalTransactions of the American Mathematical Society
Volume377
Issue number6
DOIs
StatePublished - Jun 2024

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics

Keywords

  • Kloosterman sums
  • Springer correspondence
  • perverse sheaves

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