Chern classes of modular varieties
| dc.creator | Goresky, Mark | |
| dc.creator | Pardon, William | |
| dc.date | 1998-04-24 | |
| dc.date | 2000-07-10 | |
| dc.date.accessioned | 2026-07-07T05:24:36Z | |
| dc.date.available | 2026-07-07T05:24:36Z | |
| dc.description | Let X be a Hermitian locally symmetric space. We prove that every Chern class of X has a canonical lift to the cohomology of the Baily- Borel-Satake compactification X* of X and that the resulting Chern numbers satisfy the Hirzebruch proportionality formula with respect to the compact dual X^ of X. The same result holds for any automorphic vector bundle over X in place of the tangent bundle. As a consequence there is a surjection of the subalgebra of H*(X*) generated by these lifted classes onto H*(X^). The method of proof is to construct fiberwise flat connections on these bundles near the singular strata of X*, where one then finds de Rham representatives of the Chern classes which are pulled back from the strata. | |
| dc.description | 46 pages; revision including correction of the proof of the main theorem | |
| dc.identifier | https://arxiv.org/abs/math/9804117 | |
| dc.identifier | http://arxiv.org/abs/math/9804117 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76861 | |
| dc.subject | Differential Geometry | |
| dc.title | Chern classes of modular varieties | |
| dc.type | text |