Jet Schemes of the Commuting Matrix Pairs Scheme

Simple item page
dc.creatorSethuraman, B. A.
dc.creatorŠivic, Klemen
dc.date2009-02-19
dc.date.accessioned2026-07-07T12:44:55Z
dc.date.available2026-07-07T12:44:55Z
dc.descriptionWe show that for all $k\ge 1$, there exists an integer $N(k)$ such that for all $n\ge N(k)$ the $k$-th order jet scheme over the commuting $n\times n$ matrix pairs scheme is reducible. At the other end of the spectrum, it is known that for all $k\ge 1$, the $k$-th order jet scheme over the commuting $2\times 2$ matrices is irreducible: we show that the same holds for $n=3$.
dc.descriptionTo appear in Proceedings of the AMS
dc.identifierhttps://arxiv.org/abs/0902.3467
dc.identifierhttp://arxiv.org/abs/0902.3467
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220936
dc.subjectAlgebraic Geometry
dc.subjectRings and Algebras
dc.subject15A30
dc.titleJet Schemes of the Commuting Matrix Pairs Scheme
dc.typetext

Files

Collections

arXiv