... associates^6.1

See [MT83], [Sch82] [Sch85], [Zar90], [Col91], [Nek93], [Pla94], [IW03], and [Bes04].

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... conjecture.^6.2

See [Sch82], [Sch85] [MT83], [MT87], [PR03]. See also important recent work of Jan Nekovár.

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... ordinary^6.3

Kedlaya's algorithm only requires good reduction; however, the application to computation of $p$ -adic heights requires that $p$ be ordinary as well.

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... algorithm^6.4

The reader is also encouraged to see the exposition of Edixhoven [Edi], which heavily influenced the writing of these notes.

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...Some^7.1

Dimitar Jetchev

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