Self-intersection of dualizing sheaves of arithmetic surfaces with reducible fibers

dc.creatorMoriwaki, Atsushi
dc.date1995-02-16
dc.date.accessioned2026-07-07T09:06:22Z
dc.date.available2026-07-07T09:06:22Z
dc.descriptionLet K be an algebraic number field and O_K the ring of integers of K. Let f : X --> Spec(O_K) be a stable arithmetic surface over O_K of genus g >= 2. In this short note, we will prove that if f has a reducible geometric fiber, then the self intersection of dualizing sheaf of X with Arakelov metric is greater than or equal to log(2)/6(g-1).
dc.description8 pages, AmS-TeX
dc.identifierhttps://arxiv.org/abs/alg-geom/9502014
dc.identifierhttp://arxiv.org/abs/alg-geom/9502014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149979
dc.subjectAlgebraic Geometry
dc.titleSelf-intersection of dualizing sheaves of arithmetic surfaces with reducible fibers
dc.typetext

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