On the Arakelov Geometry of Moduli Spaces of Curves

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dc.creatorHain, Richard
dc.creatorReed, David
dc.date2002-11-05
dc.date.accessioned2026-07-07T04:52:41Z
dc.date.available2026-07-07T04:52:41Z
dc.descriptionIn this paper we compute the asymptotics of the metric on the line bundle over the moduli space of curves that arises when attempting to compute the archimedean height of the algebraic cycle $C-C^-$ in the jacobian of a smooth projective curve of genus $g$. One way to express the results is to say that the metric extends (more or less) to the line bundle found by Moriwaki that has non-negative degree on every complete curve in $\Mbar_g$ not contained in the boundary.
dc.description22 pages, ams latex
dc.identifierhttps://arxiv.org/abs/math/0211097
dc.identifierhttp://arxiv.org/abs/math/0211097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65560
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.titleOn the Arakelov Geometry of Moduli Spaces of Curves
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