TY  - JOUR
A1  - Centeleghe, Tommaso Giorgio
A1  - Stix, Jakob
T1  - Categories of abelian varieties over finite fields II: Abelian varieties over Fq and Morita equivalence
T2  - Israel Journal of Mathematics
N2  - The category of abelian varieties over Fq is shown to be anti-equivalent to a category of Z-lattices that are modules for a non-commutative pro-ring of endomorphisms of a suitably chosen direct system of abelian varieties over Fq. On full subcategories cut out by a finite set w of conjugacy classes of Weil q-numbers, the anti-equivalence is represented by what we call w-locally projective abelian varieties.
Y1  - 2023
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/84272
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-842727
SN  - 1565-8511
VL  - 257
IS  - 1
SP  - 103
EP  - 170
PB  - Springer
CY  - Berlin ; Heidelberg
ER  -