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- W1488141344 abstract "In 1969, Mumford [8] proved that, for a complete non-singular algebraic surface F over the complex number field C , the dimension of the Chow group of zero-cycles on F is infinite if the geometric genus of F is positive. To this end, he defined a regular 2-form η f on a non-singular variety S for a regular 2-form η on F and for a morphism f : S → S n F , where S n F is the 72-th symmetric product of F , and he showed that η f vanishes if all 0-cycles f(s), s ∈ S , are rationally equivalent. Roitman [9] later generalized this to a higher dimensional smooth projective variety V ." @default.
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- W1488141344 date "1984-06-01" @default.
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- W1488141344 title "The Hodge cohomology and cubic equivalences" @default.
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- W1488141344 doi "https://doi.org/10.1017/s002776300002081x" @default.
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