Two results on equations of nilpotent orbits
| dc.creator | Weyman, J. | |
| dc.date | 2000-06-30 | |
| dc.date.accessioned | 2026-07-07T04:36:10Z | |
| dc.date.available | 2026-07-07T04:36:10Z | |
| dc.description | We prove two results on the defining ideals of certain varieties of matrices. Let us fix two positive integers r, e. Let M(r) be the set of r x r matrices over a field K. We consider the closed subscheme of the nilpotent variety of M(r) over K defined by the conditions char_A(T)=T^r, A^e=0. We prove that when the characteristic of K is zero this scheme is reduced. Also for e=2 we prove that this scheme is reduced over a field K of arbitrary characteristic. These results were motivated by the questions of G. Pappas and M. Rapoport (compare their paper ''Local models in the ramified case I. The EL-case", math.AG/0006222) and give answers to some of their conjectures. | |
| dc.description | 9 pages, Plain Tex | |
| dc.identifier | https://arxiv.org/abs/math/0006232 | |
| dc.identifier | http://arxiv.org/abs/math/0006232 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59506 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Two results on equations of nilpotent orbits | |
| dc.type | text |