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 language | English (US) |
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Pages (from-to) | 4117-4132 |
Number of pages | 16 |
Journal | Transactions of the American Mathematical Society |
Volume | 377 |
Issue number | 6 |
DOIs | |
State | Published - Jun 2024 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics
Keywords
- Kloosterman sums
- Springer correspondence
- perverse sheaves