Arakelov-type inequalities for Hodge bundles

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dc.creatorPeters, Chris
dc.date2000-07-17
dc.date.accessioned2026-07-07T04:36:24Z
dc.date.available2026-07-07T04:36:24Z
dc.descriptionWe give a proof of generalizations of the classical Arakelov inequality valid for the degree $d$ of the relative canoincal bundle of a family of curves of genus $g$ over a complete curve of genus $p$ under the assumption that the monodromy around the singular fibers is unipotent. This relative canonical bundle is the (canonical extension of) the Hodge bundle and the inequality is generalized to the degrees of the Hodge bundles of a complex variation of Hodge structures.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0007102
dc.identifierhttp://arxiv.org/abs/math/0007102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59584
dc.subjectAlgebraic Geometry
dc.subject14D07, 32G20
dc.titleArakelov-type inequalities for Hodge bundles
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