A Riemann-Roch theorem for flat bundles, with values in the algebraic Chern-Simons theory
| dc.creator | Bloch, Spencer | |
| dc.creator | Esnault, Hélène | |
| dc.date | 1998-04-24 | |
| dc.date | 2000-05-01 | |
| dc.date.accessioned | 2026-07-07T05:24:37Z | |
| dc.date.available | 2026-07-07T05:24:37Z | |
| dc.description | Let $f: X \to S$ be flat morphism over an algebraically closed field $k$ with a relative normal crossings divisor $Y\subset X$, $(E, \nabla)$ be a bundle with a connection with log poles along $Y$ and curvature with values in $f^*Ω^2_{k(S)}$. Then the Gauß-Manin sheaf $R^if_*(Ω^*_{X/S}({\rm log} Y)\otimes E)$ carries a Gauß-Manin connection $GM^i(\nabla)$. We establish a Riemann-Roch formula relating the algebraic Chern-Simons invariants of $\nabla$, $GM^i(\nabla)$ and the top Chern class of $Ω^1_{X/S}({\rm log}Y)$. | |
| dc.description | 46 pages, published version | |
| dc.identifier | https://arxiv.org/abs/math/9804120 | |
| dc.identifier | http://arxiv.org/abs/math/9804120 | |
| dc.identifier | Ann. of Math. (2) 151 (2000), no. 3, 1025-1070 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76864 | |
| dc.subject | Algebraic Geometry | |
| dc.title | A Riemann-Roch theorem for flat bundles, with values in the algebraic Chern-Simons theory | |
| dc.type | text |