Diagonalizing the Frobenius
| dc.creator | Halvorsen, Esben Bistrup | |
| dc.date | 2007-05-09 | |
| dc.date | 2007-09-30 | |
| dc.date.accessioned | 2026-07-07T08:32:44Z | |
| dc.date.available | 2026-07-07T08:32:44Z | |
| dc.description | Over a Noetherian, local ring R of prime characteristic p, the Frobenius functor F induces a diagonalizable map on certain quotients of rational Grothendieck groups. This leads to an explicit formula for the Dutta multiplicity, and it is shown that a weaker version of Serre's vanishing conjecture holds if only chi(F(X)) = p^{dim R}chi(X) for all bounded complexes X of finitely generated, projective modules with finite length homology. | |
| dc.description | Revised (simplified) version. 12 pages | |
| dc.identifier | https://arxiv.org/abs/0705.1251 | |
| dc.identifier | http://arxiv.org/abs/0705.1251 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138887 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A35, 13D22, 13H15, 14F17 | |
| dc.title | Diagonalizing the Frobenius | |
| dc.type | text |