Some Remarks on Beilinson Adeles
Abstract
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 DeligneIllusie). The second remark is about the possible relation between adeles and Hodge decomposition. We work out a counter example.
 Publication:

arXiv eprints
 Pub Date:
 October 1995
 arXiv:
 arXiv:alggeom/9510006
 Bibcode:
 1995alg.geom.10006Y
 Keywords:

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