Configurations of linear subspaces and rational invariants

dc.creatorZaitsev, Dmitri
dc.date1999-05-29
dc.date.accessioned2026-07-07T05:29:17Z
dc.date.available2026-07-07T05:29:17Z
dc.descriptionWe construct a birational equivalence between certain quotients of s-tuples of equidimensional linear subspaces of $C^n$ and some quotients of products of square matrices modulo diagonal conjugations. In particular, we prove the rationality of the quotient space of s-tuples of linear 2-planes in $C^n$ modulo the diagonal $\gl_n(C)$-action . Furthermore, we compute generators of the field of the rational invariants explicitly.
dc.description15 pages, to appear in Michigan Math. Journal
dc.identifierhttps://arxiv.org/abs/math/9905184
dc.identifierhttp://arxiv.org/abs/math/9905184
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78577
dc.subjectAlgebraic Geometry
dc.subjectRings and Algebras
dc.subject16R30
dc.titleConfigurations of linear subspaces and rational invariants
dc.typetext

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