Brown-Peterson spectra in stable A^1-homotopy theory
| dc.creator | Vezzosi, Gabriele | |
| dc.date | 2000-04-09 | |
| dc.date | 2000-04-12 | |
| dc.date.accessioned | 2026-07-07T04:34:40Z | |
| dc.date.available | 2026-07-07T04:34:40Z | |
| dc.description | We characterize ring spectra morphisms from the algebraic cobordism spectrum $\QTR{Bbb}{MGL}$ (\QCITE{cite}{}{Vo1}) to an oriented spectrum $\QTR{Bbb}{E}$ (in the sense of Morel \QCITE{cite}{}{Mo}) via formal group laws on the ''topological'' subring $E^{*}=\oplus_iE^{2i,i}$ of $E^{**}$. This result is then used to construct for any prime $p$ a motivic Quillen idempotent on $\QTR{Bbb}{MGL}_{(p)}$. This defines the $BP$-spectrum associated to the prime $p$ as in Quillen's \QCITE{cite}{}{Q1} for the complex-oriented topological case. | |
| dc.description | 14 pages; a section on motivations has been added | |
| dc.identifier | https://arxiv.org/abs/math/0004050 | |
| dc.identifier | http://arxiv.org/abs/math/0004050 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58993 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 14F42; 55P42 | |
| dc.title | Brown-Peterson spectra in stable A^1-homotopy theory | |
| dc.type | text |