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Towards Non-Abelian $p$-adic Hodge Theory in the Good Reduction Case
ISBN-13:
9781470406073
Einband:
PDF
Seiten:
157
Autor:
Martin C Olsson
eBook Typ:
PDF
eBook Format:
PDF
Kopierschutz:
Adobe DRM [Hard-DRM]
Sprache:
Deutsch
Beschreibung:
The author develops a non-abelian version of $p$-adic Hodge Theory for varieties (possibly open with "e;nice compactification"e;) with good reduction. This theory yields in particular a comparison between smooth $p$-adic sheaves and $F$-isocrystals on the level of certain Tannakian categories, $p$-adic Hodge theory for relative Malcev completions of fundamental groups and their Lie algebras, and gives information about the action of Galois on fundamental groups.
The author develops a non-abelian version of $p$-adic Hodge Theory for varieties (possibly open with "e;nice compactification"e;) with good reduction. This theory yields in particular a comparison between smooth $p$-adic sheaves and $F$-isocrystals on the level of certain Tannakian categories, $p$-adic Hodge theory for relative Malcev completions of fundamental groups and their Lie algebras, and gives information about the action of Galois on fundamental groups.