Zev Rosengarten
Published 2019-07-14Version 1
We show that all of the nice behavior for Tamagawa numbers, Tate-Shafarevich sets, and other arithmetic invariants of pseudo-reductive groups over global function fields proved in \cite{rospred} fails in general for non-commutative 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.
Comments: 36 pages; This is the second half of a preprint arXiv:1806.10723 submitted earlier; we have broken it up in order to make the arXiv versions conform to the published ones
A construction of (t,s)-sequences with finite-row generating matrices using global function fields
Tate's conjecture and the Tate-Shafarevich group over global function fields
Finite quotients of Z[C_n]-lattices and Tamagawa numbers of semistable abelian varieties
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