Algebraic Cycles and Mumford-Griffiths Invariants
| dc.creator | Lewis, James D. | |
| dc.creator | Saito, Shuji | |
| dc.date | 2007-05-31 | |
| dc.date.accessioned | 2026-07-07T08:03:46Z | |
| dc.date.available | 2026-07-07T08:03:46Z | |
| dc.description | Let $X$ be a projective algebraic manifold and let $CH^r(X)$ be the Chow group of algebraic cycles of codimension $r$ on $X$, modulo rational equivalence. Working with a candidate Bloch-Beilinson filtration $\{F^ν\}_{ν\geq 0}$ on $CH^r(X)\otimes {\Bbb Q}$ due to the second author, we construct a space of arithmetic Hodge theoretic invariants $\nabla J^{r,ν}(X)$ and corresponding map $ϕ_{X}^{r,ν} : Gr_{F}^νCH^r(X)\otimes {\Bbb Q} \to \nabla J^{r,ν}(X)$, and determine conditions on $X$ for which the kernel and image of $ϕ_{X}^{r,ν}$ are ``uncountably large''. | |
| dc.description | 39 pages, To appear in the American Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/0705.4661 | |
| dc.identifier | http://arxiv.org/abs/0705.4661 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129703 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C25, 14C30 | |
| dc.title | Algebraic Cycles and Mumford-Griffiths Invariants | |
| dc.type | text |