Global geometrised Rankin-Selberg method for GL(n)

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dc.creatorLysenko, Sergey
dc.date2001-08-30
dc.date.accessioned2026-07-07T04:43:11Z
dc.date.available2026-07-07T04:43:11Z
dc.descriptionWe propose a geometric interpretation of the classical Rankin-Selberg method for GL(n) in the framework of the geometric Langlands program. We show that the geometric Langlands conjecture for an irreducible unramified local system $E$ of rank $n$ on a curve implies the existence of automorphic sheaves corresponding to the universal deformation of $E$. Then we calculate the `scalar product' of two automorphic sheaves attached to this universal deformation.
dc.description38 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/0108208
dc.identifierhttp://arxiv.org/abs/math/0108208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62108
dc.subjectAlgebraic Geometry
dc.subject11R39; 14H60
dc.titleGlobal geometrised Rankin-Selberg method for GL(n)
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