Orbital integrals for linear groups

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dc.creatorCluckers, R.
dc.creatorDenef, J.
dc.date2007-03-23
dc.date.accessioned2026-07-07T07:53:51Z
dc.date.available2026-07-07T07:53:51Z
dc.descriptionFor a linear group $G$ acting on an absolutely irreducible variety $X$ over the rationals $\QQ$, we describe the orbits of $X(\QQ_p)$ under $G(\QQ_p)$ and of $X(\FF_p((t)))$ under $G(\FF_p((t)))$ for $p$ big enough. This allows us to show that the degree of a wide class of orbital integrals over $\QQ_p$ or $\FF_p((t))$ is $\leq 0$ for $p$ big enough, and similarly for all finite field extensions of $\QQ_p$ and $\FF_p((t))$.
dc.identifierhttps://arxiv.org/abs/math/0703704
dc.identifierhttp://arxiv.org/abs/math/0703704
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126380
dc.subjectAlgebraic Geometry
dc.subjectLogic
dc.subjectNumber Theory
dc.subject11S40, 03C98; 22E35, 11S20
dc.titleOrbital integrals for linear groups
dc.typetext

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