Surfaces Violating Bogomolov-Miyaoka-Yau in Positive Characteristic

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dc.creatorEaston, Robert
dc.date2005-11-17
dc.date.accessioned2026-07-07T06:51:24Z
dc.date.available2026-07-07T06:51:24Z
dc.descriptionThe Bogomolov-Miyaoka-Yau inequality asserts that the Chern numbers of a surface X of general type in characteristic 0 satisfy the inequality c_1^2 <= 3c_2, a consequence of which is (K_X^2)/chi(O_X) <= 9. This inequality fails in characteristic p, and here we produce infinite families of counterexamples for large p. Our method parallels a construction of Hirzebruch, and relies on a construction of abelian covers due to Catanese and Pardini.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0511455
dc.identifierhttp://arxiv.org/abs/math/0511455
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104976
dc.subjectAlgebraic Geometry
dc.subject14J29
dc.titleSurfaces Violating Bogomolov-Miyaoka-Yau in Positive Characteristic
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