On Unramified Separable Abelian p-Extensions of Function Fields I
1959 ◽
Vol 14
◽
pp. 223-234
◽
Keyword(s):
Let k be an algebraically closed field of characteristic p>0. Let K/k be a function field of one variable and L/K be an unramified separable abelian extension of degree pr over K. The galois automorphisms ε1, …, εpr of L/K are naturally extended to automorphisms η(ε1), … , η(εpr) of the jacobian variety JL of L/k. If we take a svstem of p-adic coordinates on JL, we get a representation {Mp(η(εv))} of the galois group G(L/K) of L/K over p-adic integers.
2014 ◽
Vol 10
(08)
◽
pp. 2187-2204
2020 ◽
Vol 16
(09)
◽
pp. 2041-2094
Keyword(s):
2017 ◽
Vol 18
(2)
◽
pp. 293-327
◽
2018 ◽
Vol 2018
(739)
◽
pp. 159-205
1998 ◽
Vol 50
(6)
◽
pp. 1253-1272
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1980 ◽
Vol 29
(4)
◽
pp. 462-468
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