Algebraic cycles and Mumford-Griffiths invariants
نویسندگان
چکیده
منابع مشابه
ar X iv : 0 70 5 . 46 61 v 1 [ m at h . A G ] 3 1 M ay 2 00 7 ALGEBRAIC CYCLES AND MUMFORD - GRIFFITHS INVARIANTS
Let X be a projective algebraic manifold and let CH(X) be the Chow group of algebraic cycles of codimension r on X, modulo rational equivalence. Working with a candidate Bloch-Beilinson filtration {F }ν≥0 on CH(X)⊗Q due to the second author, we construct a space of arithmetic Hodge theoretic invariants ∇J(X) and corresponding map φ X : Gr F CH(X)⊗Q → ∇J(X), and determine conditions on X for whi...
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 2007
ISSN: 1080-6377
DOI: 10.1353/ajm.2007.0046