Some Remarks on Beilinson Adeles

Details Some Remarks on Beilinson Adeles Some Remarks on Beilinson Adeles

1995-10-05

arxiv.org/abs/alg-geom/9510006v2

Mathematics

Algebraic Geometry

AMSLaTeX 1.1, 6 pages, to appear in: Proc. AMS (replaced only to fix a latex problem)

Scientific paper

This paper contains two remarks on Beilinson's adeles with values in the De
Rham complex of a scheme. The first is an interpretation, in terms of adeles,
of the decomposition of the De Rham complex on a scheme defined modulo $p^{2}$
(the result of Deligne-Illusie). The second remark is about the possible
relation between adeles and Hodge decomposition. We work out a counter example.

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