Brauer groups and Néron class groups
2020 ◽
Vol 16
(10)
◽
pp. 2275-2292
Keyword(s):
Let [Formula: see text] be a global field and let [Formula: see text] be a finite set of primes of [Formula: see text] containing the Archimedean primes. We generalize the duality theorem for the Néron [Formula: see text]-class group of an abelian variety [Formula: see text] over [Formula: see text] established previously by removing the requirement that the Tate–Shafarevich group of [Formula: see text] be finite. We also derive an exact sequence that relates the indicated group associated to the Jacobian variety of a proper, smooth and geometrically connected curve [Formula: see text] over [Formula: see text] to a certain finite subquotient of the Brauer group of [Formula: see text].
1993 ◽
Vol 113
(2)
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pp. 233-251
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Keyword(s):
1982 ◽
Vol 34
(4)
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pp. 996-1010
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Keyword(s):
2010 ◽
Vol 06
(03)
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pp. 579-586
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Keyword(s):
1959 ◽
Vol 32
(2)
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pp. 333-350
1984 ◽
Vol 36
(2)
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pp. 206-239
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2004 ◽
Vol 47
(1)
◽
pp. 22-29
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1966 ◽
Vol 27
(1)
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pp. 239-247
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