By M. Raynaud (auth.), Michel Raynaud, Tetsuji Shioda (eds.)

ISBN-10: 3540126856

ISBN-13: 9783540126850

ISBN-10: 3540386769

ISBN-13: 9783540386766

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Additional info for Algebraic Geometry: Proceedings of the Japan-France Conference held at Tokyo and Kyoto, October 5–14, 1982

Example text

On given Hn(x/w) compatible with ~ a) are s a t i s f i e d . 4 It was p r o p o s e d the c o n d i t i o n s b) of is H o d g e - W i t t in each d e g r e e varieties X consists is c a l l e d in [161 HJ(Bw~) = 0 as close as p o s s i b l e for all for example, group is of of K3 n height. [20~. this o_~n Hn(x/W), Hn-i(zw~) decompositions X Hodqe-Witt analogous varieties = 0 to sense if it of K a t o [7] to Hodge-Witt varieties are varieties (in aspects : i , j , and it is shown in a d i f f e r e n t with if the supersingular Hodge-Witt in c o n n e c t i o n n of H o d g e - W i t t is e q u i v a l e n t sense, while class in the for all seem to live Polygonal in d e g r e e decomposition is said to be H o d q e - W i t t condition where ~ is H o d q e - W i t t i , j .

4) in d e g r e e t h e r e is a c a n o n i c a l functor. 8) (cf. 10. 7 and implies N : are in Db(R), so is M~N . 11. ~ M , N for i ~3 are c o h e r e n t R-modules, : K~ni(M,N)= 0 89 He has a l s o c o m p u t e d M~N for c e r t a i n e l e m e n t a r y I w o n ' t e n t e r into the d e t a i l s duality of the c a l c u l a t i o n s , c o h e r e n t modules. 3 b e l o w and are r a t h e r c o m p l i c a t e d . 2. Kuno(k'k) Internal Denote by itself. M,N) As a p a r t i c u l a r t h a n k s to r i g h t m u l t i p l i c a t i o n ~>M R-module over on R s .

3). In the d o m i n o e s and h a v e the same d i m e n s i o n . is a l g e b r a i c a l l y In [15] I used the e x a c t s e q u e n c e s : sequences- cohomoloqy. 7 - can be f u r t h e r closed. 0 dl°9> W . ~I cohomology of X to the ~tale and flat coho- : = ~im H (X~t,~/p n) , H (X, Zp(1)) : = ~lim H (Xfl,~ n ). 2) HJ(W~og) pro-algebraic k-points. HJ(w~) k-group • of the local section ~J(W~og) k-group ' " equal to the piece of canonically Moreover, and structure. 3). The quotient of finite type, of rank i .

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Algebraic Geometry: Proceedings of the Japan-France Conference held at Tokyo and Kyoto, October 5–14, 1982 by M. Raynaud (auth.), Michel Raynaud, Tetsuji Shioda (eds.)


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