Integral Representation of P-Class Groups In ℤp-Extensions and the Jacobian Variety
1998 ◽
Vol 50
(6)
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pp. 1253-1272
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Keyword(s):
AbstractFor an arbitrary finite Galois p-extension L/K of ℤp-cyclotomic number fields of CM-type with Galois group G = Gal(L/K) such that the Iwasawa invariants are zero, we obtain unconditionally and explicitly the Galois module structure of CL-(p), the minus part of the p-subgroup of the class group of L. For an arbitrary finite Galois p-extension L/K of algebraic function fields of one variable over an algebraically closed field k of characteristic p as its exact field of constants with Galois group G = Gal(L/K) we obtain unconditionally and explicitly the Galois module structure of the p-torsion part of the Jacobian variety JL(p) associated to L/k.
2008 ◽
Vol 2008
(620)
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Keyword(s):
2002 ◽
Vol 45
(2)
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pp. 168-179
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Keyword(s):
1995 ◽
Vol 117
(1)
◽
pp. 57-82
Keyword(s):
2000 ◽
Vol 62
(3)
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pp. 493-509
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Keyword(s):
Keyword(s):