Gross--Schoen Cycles and Dualising Sheaves

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dc.creatorZhang, Shou-Wu
dc.date2008-12-01
dc.date.accessioned2026-07-07T12:08:33Z
dc.date.available2026-07-07T12:08:33Z
dc.descriptionThe aim of this paper is to study the modified diagonal cycle in the triple product of a curve over a global field defined by Gross and Schoen. Our main result is an identity between the height of this cycle and the self-intersection of the relative dualising sheaf. We have some applications to the following problems in number theory and algebraic geometry.
dc.identifierhttps://arxiv.org/abs/0812.0371
dc.identifierhttp://arxiv.org/abs/0812.0371
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209357
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.titleGross--Schoen Cycles and Dualising Sheaves
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