Incidence Hilbert schemes and infinite dimensional Lie algebras

Simple item page
dc.creatorLi, Wei-Ping
dc.creatorQin, Zhenbo
dc.date2006-06-20
dc.date.accessioned2026-07-07T07:17:30Z
dc.date.available2026-07-07T07:17:30Z
dc.descriptionGiven a projetive surface $S$, using correspondences, we construct an infinite dimensional Lie algebra that acts on the direct sum $\Wfock$ of the cohomology groups of the incidence Hilbert schemes $S^{[n,n+1]}$ over all $n$. The algebra is related to an extension of an infinite dimensional Heisenberg algebra. The space $\Wfock$ is a highest weight representation of this algebra. Our result provides a representation-theoretic interpretation of Cheah's generating function of Betti numbers of the incidence Hilbert schemes. As a consequence, an additive basis of the cohomology group of the incidence Hilbert scheme is obtained.
dc.identifierhttps://arxiv.org/abs/math/0606504
dc.identifierhttp://arxiv.org/abs/math/0606504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113963
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14C05 (Primary); 14F43, 17B65(Secondary)
dc.titleIncidence Hilbert schemes and infinite dimensional Lie algebras
dc.typetext

Files

Collections

arXiv