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Unformatted text preview: yr.B a , yiB.dx which induces the GaussManin connection on the cokernel. (6.8.2) Proposition. Let n, a, b, c be strictly positive integers. Then for every integer {> 1, there is a horizontal morphism of C(2)modules with connection (cf (6.1.0)) E( (c'n (a+db+(Cn 1,(a~Ec) C(2) * P(Z(f))H~R(X(n; a, b, c)/C (2)) (6.8.2.0) defined by (6.8.2.1) dx eo ~ the class of y7 el , g the class of .7 Y Proof In concrete terms, the assertion is that the operator (6.8.2.2) (c ( n 1) annihilates the class of dx/y e in H~R(X(n; a, b, c)/C(2)). In fact, direct calculation (cf. [1], p. 60, (11)) shows that in f2~(,:,,b,c)/C(~ ) we have...
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This note was uploaded on 12/21/2011 for the course MAP 4341 taught by Professor Normankatz during the Fall '11 term at UNF.
 Fall '11
 NormanKatz

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