Direct image of logarithmic complexes and infinitesimal invariants of cycles
| dc.creator | Saito, Morihiko | |
| dc.date | 2005-06-01 | |
| dc.date | 2005-08-31 | |
| dc.date.accessioned | 2026-07-07T05:20:27Z | |
| dc.date.available | 2026-07-07T05:20:27Z | |
| dc.description | We show that the direct image of the filtered logarithmic de Rham complex is a direct sum of filtered logarithmic complexes with coefficients in variations of Hodge structures, using a generalization of the decomposition theorem of Beilinson, Bernstein and Deligne to the case of filtered $D$-modules. The advantage of using the logarithmic complexes is that we have the strictness of the Hodge filtration by Deligne after taking the cohomology group in the projective case. As a corollary, we get the total infinitesimal invariant of a (higher) cycle in a direct sum of the cohomology of filtered logarithmic complexes with coefficients, and this is essentially equivalent to the cohomology class of the cycle. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0506020 | |
| dc.identifier | http://arxiv.org/abs/math/0506020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75384 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C30 | |
| dc.title | Direct image of logarithmic complexes and infinitesimal invariants of cycles | |
| dc.type | text |