Logarithmic orbifold Euler numbers of surfaces with applications

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dc.creatorLanger, Adrian
dc.date2000-12-19
dc.date.accessioned2026-07-07T04:39:18Z
dc.date.available2026-07-07T04:39:18Z
dc.descriptionWe introduce orbifold Euler numbers for normal surfaces with Q-divisors. These numbers behave multiplicatively under finite maps and in the log canonical case we prove that they satisfy the Bogomolov-Miyaoka-Yau type inequality. As a corollary we prove effective versions of Bogomolov's result on boundedness of rational curves in some surfaces of general type. Finally, we give some applications to singularities of plane curves.
dc.description37 pages; AMSTeX
dc.identifierhttps://arxiv.org/abs/math/0012180
dc.identifierhttp://arxiv.org/abs/math/0012180
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60605
dc.subjectAlgebraic Geometry
dc.subject14J17; 14J29; 14C17
dc.titleLogarithmic orbifold Euler numbers of surfaces with applications
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