On the Irreducibility of Commuting Varieties of Nilpotent Matrices
| dc.creator | Basili, R. | |
| dc.date | 2003-01-20 | |
| dc.date.accessioned | 2026-07-07T04:54:34Z | |
| dc.date.available | 2026-07-07T04:54:34Z | |
| dc.description | Given an nxn nilpotent matrix over an algebraically closed field K, we prove some properties of the set of all the nxn nilpotent matrices over K which commute with it. Then we give a proof of the irreducibility of the variety of all the pairs (A,B) of nxn nilpotent matrices over K if either char K = 0 or char K isn't less than n/2. We get as a consequence a proof of the irreducibility of the local Hilbert scheme of n points of a smooth algebraic surface over K with the previous condition on char K. | |
| dc.description | LaTex, 27 pages, to appear in J. Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0301215 | |
| dc.identifier | http://arxiv.org/abs/math/0301215 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66300 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.title | On the Irreducibility of Commuting Varieties of Nilpotent Matrices | |
| dc.type | text |