Units, polyhedra, and a conjecture of Satake
| dc.creator | Gunnells, Paul E. | |
| dc.creator | Sturm, Jacob | |
| dc.date | 2002-06-20 | |
| dc.date.accessioned | 2026-07-07T04:49:16Z | |
| dc.date.available | 2026-07-07T04:49:16Z | |
| dc.description | Let $F/\QQ $ be a totally real number field of degree $n$. We explicitly evaluate a certain sum of rational functions over a infinite fan of $F$-rational polyhedral cones in terms of the norm map $\Norm \colon F\to \QQ $. This completes Sczech's combinatorial proof of Satake's conjecture connecting the special values of $L$-series associated to cusp singularities with intersection numbers of divisors in their toroidal resolutions. | |
| dc.description | plain tex, uses epsf | |
| dc.identifier | https://arxiv.org/abs/math/0206217 | |
| dc.identifier | http://arxiv.org/abs/math/0206217 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64355 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11F41; 11R42; 14M25 | |
| dc.title | Units, polyhedra, and a conjecture of Satake | |
| dc.type | text |