The invariants of the Tate-Shafarevich group in a \({\mathbb{Z}}_ p\)- extension can be infinite (Q1068156)
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scientific article; zbMATH DE number 3929173
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The invariants of the Tate-Shafarevich group in a \({\mathbb{Z}}_ p\)- extension can be infinite |
scientific article; zbMATH DE number 3929173 |
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The invariants of the Tate-Shafarevich group in a \({\mathbb{Z}}_ p\)- extension can be infinite (English)
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1985
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In this paper, the author constructs examples which show that the Galois invariants of the p-primary subgroup of the Tate-Shafarevich group over a \({\mathbb{Z}}_ p\)-extension can be infinite. They are interesting in comparing with the conjecture on the finiteness of the Tate-Shafarevich group of an abelian variety over a number field.
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p-adic height pairing
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Iwasawa power series
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two-variable p-adic L- function
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Galois invariants
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finiteness of the Tate-Shafarevich group
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