Semantic Scholar Open Access 2000 12 sitasi

Two results on equations of nilpotent orbits

J. Weyman

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (1)

J. Weyman

Format Sitasi

APA MLA BibTeX

Weyman, J. (2000). Two results on equations of nilpotent orbits. https://doi.org/10.1090/S1056-3911-02-00335-1

Akses Cepat

Lihat di Sumber doi.org/10.1090/S1056-3911-02-00335-1

Informasi Jurnal

Tahun Terbit: 2000
Bahasa: en
Total Sitasi: 12×
Sumber Database: Semantic Scholar
DOI: 10.1090/S1056-3911-02-00335-1
Akses: Open Access ✓