CRYSTALLINE CONJECTURE VIA K-THEORY

Authors
NIZIOL W
Citation
W. Niziol, CRYSTALLINE CONJECTURE VIA K-THEORY, Annales Scientifiques de l'Ecole Normale Superieure, 31(5), 1998, pp. 659-681
Citations number
25
Categorie Soggetti
Mathematics,Mathematics
Journal title
Annales Scientifiques de l'Ecole Normale Superieure → ACNP
ISSN journal
00129593
Volume
31
Issue
5
Year of publication
1998
Pages
659 - 681
Database
ISI
SICI code
0012-9593(1998)31:5<659:CCVK>2.0.ZU;2-A
Abstract
We give a new proof of the Crystalline Conjecture of Fontaine comparin g etale and crystalline cohomologies of smooth projective varieties ov er p-adic fields in the good reduction case. Our proof is based on Tho mason's results relating etale cohomology to algebraic K-theory (C) El sevier, Paris.