Adelic Chern Forms and Applications
| dc.creator | Huebl, Reinhold | |
| dc.creator | Yekutieli, Amnon | |
| dc.date | 1998-11-18 | |
| dc.date.accessioned | 2026-07-07T05:26:54Z | |
| dc.date.available | 2026-07-07T05:26:54Z | |
| dc.description | Let X be a variety over a field of characteristic 0. Given a vector bundle E on X we construct Chern forms c_{i}(E;\nabla) in Γ(X, \cal{A}^{2i}_{X}). Here \cal{A}^{.}_{X} is the sheaf Beilinson adeles and \nabla is an adelic connection. When X is smooth these adeles calculate the algebraic De Rham cohomology, and c_{i}(E) = [c_{i}(E;\nabla)] are the usual Chern classes. We include three applications of the construction: (1) existence of adelic secondary (Chern-Simons) characteristic classes on any smooth X and any vector bundle E; (2) proof of the Bott Residue Formula for a vector field action; and (3) proof of a Gauss-Bonnet Formula on the level of differential forms, namely in the De Rham-residue complex. | |
| dc.description | 34 pages, AMSLaTeX, to appear in Amer. J. Math | |
| dc.identifier | https://arxiv.org/abs/math/9811109 | |
| dc.identifier | http://arxiv.org/abs/math/9811109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77731 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Category Theory | |
| dc.subject | Primary: 14F40; Secondary: 14F10, 14C17, 11R56, 18G30, 53C05 | |
| dc.title | Adelic Chern Forms and Applications | |
| dc.type | text |