Epsilon constants and equivariant Arakelov Euler characteristics
| dc.creator | Chinburg, T. | |
| dc.creator | Pappas, G. | |
| dc.creator | Taylor, M. J. | |
| dc.date | 2000-06-13 | |
| dc.date.accessioned | 2026-07-07T04:35:52Z | |
| dc.date.available | 2026-07-07T04:35:52Z | |
| dc.description | We study equivariant Arakelov-Euler characteristics of hermitian sheaves on arithmetic varieties which support a tame action by a finite group G. The tameness of the group action allows us to produce an equivariant Arakelov-Euler characteristic in a particularly fine "projective" arithmetic class group. We then show that the equivariant Arakelov-Euler characteristics of various complexes of differentials determine the epsilon constants of the L-functions of the motives obtained from the arithmetic variety using symplectic representations of the group G. Our results may be viewed firstly as a higher dimensional version of the Cassou-Noguès Taylor characterization of symplectic Artin root numbers in terms of the hermitian structure of rings of integers, and secondly as a signed equivariant version of Bloch's conductor formula. | |
| dc.description | 54 pages, LaTex | |
| dc.identifier | https://arxiv.org/abs/math/0006095 | |
| dc.identifier | http://arxiv.org/abs/math/0006095 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59401 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Epsilon constants and equivariant Arakelov Euler characteristics | |
| dc.type | text |