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Zbl 0882.14001
Green, Mark; Müller-Stach, Stefan
Algebraic cycles on a general complete intersection of high multi-degree of a smooth projective variety. (English)
[J] Compos. Math. 100, No.3, 305-309 (1996). ISSN 0010-437X; ISSN 1570-5846/e

Our goal in this paper is to generalize the results of {\it M. L. Green} [J. Differ. Geom. 29, No. 3, 545-555 (1989; Zbl 0692.14003)] and {\it C. Voisin} [C. R. Acad. Sci., Paris, Sér. I 307, No. 4, 157-160 (1988; Zbl 0673.14005)] on the Abel-Jacobi map for general 3-folds of degree $d\ge 6$ in $\bbfP^4$ to arbitrary general complete intersections of high multi-degrees on any smooth projective variety. Our work on this was highly influenced by conversations with M. Nori [cf. {\it M. V. Nori}, Invent. Math. 111, No. 2, 349-373 (1993; Zbl 0822.14008)]. We have phrased our result in terms of rational Deligne cohomology.

MSC 2000:: *14C25 Algebraic cycles
14M10 Complete intersections
14F99 Cohomology theory
14C05 Parametrization

Keywords: algebraic cycles; complete intersection

Citations: Zbl 0692.14003; Zbl 0673.14005; Zbl 0822.14008

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