Complex multiplication, rationality and mirror symmetry for abelian varieties

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dc.creatorChen, Meng
dc.date2005-12-20
dc.date2006-02-22
dc.date.accessioned2026-07-07T11:44:15Z
dc.date.available2026-07-07T11:44:15Z
dc.descriptionWe show that complex multiplication on abelian varieties is equivalent to the existence of a constant rational Kähler metric. We give a sufficient condition for a mirror of an abelian variety of CM-type to be of CM-type as well. We also study the relationship between complex multiplication and rationality of a toroidal lattice vertex algebra.
dc.description22 pages, introduction and exposition of results rewritten, references added
dc.identifierhttps://arxiv.org/abs/math/0512470
dc.identifierhttp://arxiv.org/abs/math/0512470
dc.identifierJ.Geom.Phys.58:633-653,2008
dc.identifierdoi:10.1016/j.geomphys.2008.01.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201537
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleComplex multiplication, rationality and mirror symmetry for abelian varieties
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