Abstract
We show that all of the nice behavior for Tamagawa numbers, Tate–Shafarevich sets, and other arithmetic invariants of pseudoreductive groups over global function fields, proved in another work, fails in general for noncommutative unipotent groups. We also give some positive results which show that Tamagawa numbers do exhibit some reasonable behavior for arbitrary connected linear algebraic groups over global function fields.
Original language | English |
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Pages (from-to) | 1593-1626 |
Number of pages | 34 |
Journal | Algebra and Number Theory |
Volume | 15 |
Issue number | 7 |
DOIs | |
State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2021 Mathematical Sciences Publishers.
Keywords
- Linear algebraic groups
- Tamagawa numbers
- Tate–Shafarevich sets
- Unipotent groups