Relative Algebraic Differential Characters
| dc.creator | Bloch, Spencer | |
| dc.creator | Esnault, Hélène | |
| dc.date | 1999-12-02 | |
| dc.date.accessioned | 2026-07-07T05:32:05Z | |
| dc.date.available | 2026-07-07T05:32:05Z | |
| dc.description | Let $f: X \to S$ be a smooth morphism in characteristic 0, and let $(E, \nabla_{X/S})$ be a relative regular connection. We define a cohomology of relative differential characters on $X$ which receives classes of $(E, \nabla_{X/S})$. It says in particular that the partial vanishing of the trace of the iterated Atiyah classs can be made canonical. While applied to a family of curves and $c_2$, the construction yields a connection of $f_*c_2(E)$. This one has been constructed analytically by A. Beilinson. We also relate our construction to the trace complex of Beilinson of Schechtman. | |
| dc.description | Latex 2e, 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/9912015 | |
| dc.identifier | http://arxiv.org/abs/math/9912015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79531 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Relative Algebraic Differential Characters | |
| dc.type | text |