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Syntomic cohomology is the abelian sheaf cohomology of the syntomic site of a scheme. It is a p - adic analogue of Deligne-Beilinson cohomology. Syntomic cohomology is closely related to the crystalline cohomology of that scheme and may be regarded as a p -adic absolute Hodge cohomology. This aspect of Rationalized Syntomic Cohomology Institute For Advanced plays a vital role in practical applications.
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Moreover, the purpose of this paper is to interpret rigid syntomic cohomology, defined by Amnon Besser Bes, as a p-adic absolute Hodge cohomology. This is a p-adic analogue of a work of Beilinson Be1 which interprets Beilinson-Deligne cohomology in terms of absolute Hodge cohomology. This aspect of Rationalized Syntomic Cohomology Institute For Advanced plays a vital role in practical applications.
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In a recent paper, Antieau-Mathew-Morrow-Nikolaus showed that, after inverting p, syntomic cohomology admits a concrete description in terms of more familiar invariants, such as de Rham and ... This aspect of Rationalized Syntomic Cohomology Institute For Advanced plays a vital role in practical applications.
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Moreover, syntomic cohomology is the abelian sheaf cohomology of the syntomic site of a scheme. It is a p - adic analogue of Deligne-Beilinson cohomology. Syntomic cohomology is closely related to the crystalline cohomology of that scheme and may be regarded as a p -adic absolute Hodge cohomology. This aspect of Rationalized Syntomic Cohomology Institute For Advanced plays a vital role in practical applications.
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Moreover, the purpose of this paper is to interpret rigid syntomic cohomology, defined by Amnon Besser Bes, as a p-adic absolute Hodge cohomology. This is a p-adic analogue of a work of Beilinson Be1 which interprets Beilinson-Deligne cohomology in terms of absolute Hodge cohomology. This aspect of Rationalized Syntomic Cohomology Institute For Advanced plays a vital role in practical applications.
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