Unformatted text preview: {I(D(i)O(j))}. The upper horizontal arrow in (3.4.1.6) is slightly less straightforward to explicate. Let ~ be a section of Raf. (j~ffb (i2~/s (log D))). We may represent by an acochain ~ of closed forms (3.4.1.11) z~ca({v~},P~x/s(logD)), dz=O whose image in ca({ Vii}, ~b(~2]/s(log D))) is a cocycle representing ~. By the degeneration of the conjugate spectral sequence at Ez, we may choose z to be the component of bidegree (a, b) in a total a + b cocycle a which lies in (3.4.1.12) F~,= 2 ca+i( {Vi}' f~x~s'(logD)). i=>O The section ~, (D) (~) of R a + i f, (ocgb 1 (f2~/s (log D))) is then represented by the component of bidegree (a + 1, b 1) in the total cocycle (3.4.1.13 ) ( V (D) p  V (D')) (a)....
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 Fall '11
 NormanKatz
 Topology, Vector Space, Open set, Category theory, N.M. Katz, lower horizontal arrow

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