Topological $ε$-factors
| dc.creator | Beilinson, Alexander | |
| dc.date | 2006-10-02 | |
| dc.date | 2006-12-21 | |
| dc.date.accessioned | 2026-07-07T07:36:36Z | |
| dc.date.available | 2026-07-07T07:36:36Z | |
| dc.description | The article describes a purely topological counterpart of the $ε$-factorization of constants in the functional equations (which is a key ingredient in the interplay between L-functions and classical automorphic forms). We consider the determinant of the cohomology of a constructible sheaf F on a real analytic manifold X (or a bit more precise object, which is $RΓ(X,F)$ seen as a homotopy point of the K-theory spectrum), and show that it can be "computed" by means of a "spectral" version of the Dubson-Kashiwara formula, which yields, in particular, the $ε$-factorization format. This picture may lead to a better understanding of a recent work of Bloch-Deligne-Esnault on the determinant of the period matrix. | |
| dc.description | 29 pages, AMSTEX, revised version | |
| dc.identifier | https://arxiv.org/abs/math/0610055 | |
| dc.identifier | http://arxiv.org/abs/math/0610055 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120483 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.title | Topological $ε$-factors | |
| dc.type | text |