On K3 Surfaces with Large Complex Structure

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dc.creatorClingher, Adrian
dc.creatorDoran, Charles F.
dc.date2005-08-15
dc.date2005-08-24
dc.date.accessioned2026-07-07T05:22:22Z
dc.date.available2026-07-07T05:22:22Z
dc.descriptionWe discuss a notion of large complex structure for elliptic K3 surfaces with section inspired by the eight-dimensional F-theory/heterotic duality in string theory. This concept is naturally associated with the Type II Mumford partial compactification of the moduli space of periods for these structures. The paper provides an explicit Hodge-theoretic condition for the complex structure of an elliptic K3 surface with section to be large. We also discuss certain geometrical implications of this large complex structure condition in terms of the Kodaira types of the singular fibers of the elliptic fibration.
dc.description27 pages, latex, typos corrected, minor revision of section 2
dc.identifierhttps://arxiv.org/abs/math/0508249
dc.identifierhttp://arxiv.org/abs/math/0508249
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76034
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleOn K3 Surfaces with Large Complex Structure
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