SL_2-orbits and degenerations of mixed Hodge structure

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dc.creatorPearlstein, Gregory
dc.date2003-09-26
dc.date.accessioned2026-07-07T05:01:29Z
dc.date.available2026-07-07T05:01:29Z
dc.descriptionWe prove an analog of Schmid's $\text{\rm SL}_2$-orbit theorem for a class of variations of mixed Hodge structure which includes logarithmic deformations, degenerations of 1-motives and archimedean heights. In particular, as consequence this theorem, we obtain a simple formula for the asymptotic behavior of the archimedean height of a flat family of algebraic cycles which depends only on the weight filtration and local monodromy.
dc.description57 pages, amstex
dc.identifierhttps://arxiv.org/abs/math/0309439
dc.identifierhttp://arxiv.org/abs/math/0309439
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68687
dc.subjectAlgebraic Geometry
dc.subject14D07, 14C30, 14G40
dc.titleSL_2-orbits and degenerations of mixed Hodge structure
dc.typetext

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