Relations Between the Genera and Between the Hasse-Witt Invariants of Galois Coverings of Curves
Canadian mathematical bulletin, Tome 28 (1985) no. 3, pp. 321-327
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Let G ⊂ Aut (C) be a (finite) group of automorphisms of a curve C defined over a field K and, for each subgroup H ≤ G, let gH denote the genus of the quotient curve C H = C/H (briefly: quotient genus of H).In this paper we show that certain idempotent relations in the rational group ring [G] imply relations between the quotient genera {gH }H=G this generalizes two theorems of Accola. Moreover, we show that in the case of char (K) = p ≠ 0, a similar statement holds for the Hasse-Witt invariants σH of the curves C H
Kani, Ernst. Relations Between the Genera and Between the Hasse-Witt Invariants of Galois Coverings of Curves. Canadian mathematical bulletin, Tome 28 (1985) no. 3, pp. 321-327. doi: 10.4153/CMB-1985-038-0
@article{10_4153_CMB_1985_038_0,
author = {Kani, Ernst},
title = {Relations {Between} the {Genera} and {Between} the {Hasse-Witt} {Invariants} of {Galois} {Coverings} of {Curves}},
journal = {Canadian mathematical bulletin},
pages = {321--327},
year = {1985},
volume = {28},
number = {3},
doi = {10.4153/CMB-1985-038-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-038-0/}
}
TY - JOUR AU - Kani, Ernst TI - Relations Between the Genera and Between the Hasse-Witt Invariants of Galois Coverings of Curves JO - Canadian mathematical bulletin PY - 1985 SP - 321 EP - 327 VL - 28 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-038-0/ DO - 10.4153/CMB-1985-038-0 ID - 10_4153_CMB_1985_038_0 ER -
%0 Journal Article %A Kani, Ernst %T Relations Between the Genera and Between the Hasse-Witt Invariants of Galois Coverings of Curves %J Canadian mathematical bulletin %D 1985 %P 321-327 %V 28 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-038-0/ %R 10.4153/CMB-1985-038-0 %F 10_4153_CMB_1985_038_0
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