Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9518152 | Advances in Mathematics | 2005 | 7 Pages |
Abstract
We prove that, for a smooth complete variety X over a perfect field,Hi(X,Zp(r))â
HomDcb(R)(1,RÎ(WΩX
- )(r)[i]),where Hi(X,Zp(r))=limânHi-r(Xet,νn(r)) (Amer. J. Math. 108 (2) (1986) 297-360), WΩX
- is the de Rham-Witt complex on X (Ann. Scient. Ec. Num. Sup. 12 (1979b) 501-661), and Dcb(R) is the triangulated category of coherent complexes over the Raynaud ring (Inst. Hautes. Etuder Sci. Publ. Math. 57 (1983) 73-212).
- )(r)[i]),where Hi(X,Zp(r))=limânHi-r(Xet,νn(r)) (Amer. J. Math. 108 (2) (1986) 297-360), WΩX
- is the de Rham-Witt complex on X (Ann. Scient. Ec. Num. Sup. 12 (1979b) 501-661), and Dcb(R) is the triangulated category of coherent complexes over the Raynaud ring (Inst. Hautes. Etuder Sci. Publ. Math. 57 (1983) 73-212).
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
James S. Milne, Niranjan Ramachandran,