Matematičeskie zametki, Tome 15 (1974) no. 4, pp. 561-570
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A. N. Parshin. Algebraic curves over functional fields with a finite field of constants. Matematičeskie zametki, Tome 15 (1974) no. 4, pp. 561-570. http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a6/
@article{MZM_1974_15_4_a6,
author = {A. N. Parshin},
title = {Algebraic curves over functional fields with a~finite field of constants},
journal = {Matemati\v{c}eskie zametki},
pages = {561--570},
year = {1974},
volume = {15},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a6/}
}
TY - JOUR
AU - A. N. Parshin
TI - Algebraic curves over functional fields with a finite field of constants
JO - Matematičeskie zametki
PY - 1974
SP - 561
EP - 570
VL - 15
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a6/
LA - ru
ID - MZM_1974_15_4_a6
ER -
%0 Journal Article
%A A. N. Parshin
%T Algebraic curves over functional fields with a finite field of constants
%J Matematičeskie zametki
%D 1974
%P 561-570
%V 15
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a6/
%G ru
%F MZM_1974_15_4_a6
We prove a theorem of finiteness for curves of genus $g>1$, defined over a functional field of finite characteristic and having fixed invariants. As an application we obtain Tate's conjecture concerning homomorphisms of elliptic curves over a field of functions.
