Algebraic K-Theory: Proceedings of the Conference Held at by Michaeol J. Stein

By Michaeol J. Stein

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A. Grlffiths, surfaces (to appear). C. H. Clemens and P. A. Grlffiths, the cubic three-fold, 6. with application to algebraic The intermediate jacobian of Ann. Math 95(1972) 281-356. Periods of integrals on algebraic manifolds; summary of main results and discussion of open problems, Bull. Amer. Math. Soc. (2) 76(1970). 7. A. , ll Rue Pierre Curie, Paris 5 e (1962). 8. A. Grothendieck, Sur la classification des flbr6s holomorphes sur la sphere de Riemann, Amer. J. Math. 79(1957)121-138. 9. S. Lang, Abelian Varieties, New York, Intersclence, 10.

Math. 79(1957)121-138. 9. S. Lang, Abelian Varieties, New York, Intersclence, 10. V. A. D. Ju. I. Martin, Three-dlmensional (1959). quartics and to the L~roth problem, Mat. Sb. 86(1971)140-66. Mumford, Rational equivalence of O-cycles on surfaces, J. Math. Kyoto Univ. 9(1969)195-204. 12. J. P. Murre, Algebraic equivalence modulo rational equivalence on a cubic three-fold, Composltio Math. Vol. 25, Fasc. 2, (1972) pp. 161-206. 13. D. Quillen, Higher Algebraic K-theory I, Algebraic K-theory I, Lecture notes in Math.

Coker d -. FO(~ ) ~ Fo(A ) aI . and d Finally with coeficients columns of maps ~ to Fo(k ) ~ 0,i. is given by an The rows of n(X), a t : M(X)~(~ ~)(X =:(~_)(X) ~ M(X) ) matrix c o r r e s p o n d to 0 m,M . Therefore M• and the columns of if the row and c o l u m n are incident, check that s i m i l a r l y for ~ to other,glse. Then To(A ) = a = (~,y) M(X), m(X), the with a 1 It is e a s y to is a m o r p h i s m of functors, h e n c e is a m o r p h i s m of c o n t r a v a r i a n t functors.

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