English

Some Remarks on Beilinson Adeles

alg-geom 2008-02-03 v2 Algebraic Geometry

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 p2p^{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.

Keywords

Cite

@article{arxiv.alg-geom/9510006,
  title  = {Some Remarks on Beilinson Adeles},
  author = {Amnon Yekutieli},
  journal= {arXiv preprint arXiv:alg-geom/9510006},
  year   = {2008}
}

Comments

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

R2 v1 2026-07-22T07:41:56.295Z