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Kohomologie von Periodenbereichen ueber endlichen Koerpern

Sascha Orlik
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Abstract

Periodenbereiche sind gewisse offene Unterraeume von verallgemeinerten Flaggenvarietaeten, welche durch Semistabilitaetsbedingungen beschrieben werden. In dem Fall eines endlichen Grundkoerpers bilden diese eine Zariski-offene Untervarietaet, im Fall eines lokalen Koerpers einen zulaessigen offenen Unterraum im Sinne der rigiden algebraischen Geometrie. In dieser Arbeit berechnen wir fuer den Fall eines endlichen Grundkoerpers die l-adische Kohomologie mit kompaktem Traeger dieser Periodenbereiche. Das Ergebnis bestaetigt eine Vermutung von Kottwitz und Rapoport.

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Sascha Orlik. 1999-07-15. Kohomologie von Periodenbereichen ueber endlichen Koerpern. https://arxiv.org/abs/math/9907098

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