Lagrangian fibrations and theta functions

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dc.creatorNohara, Yuichi
dc.date2006-04-14
dc.date.accessioned2026-07-07T07:10:55Z
dc.date.available2026-07-07T07:10:55Z
dc.descriptionIn this thesis we study asymptotic behavior of projective embeddings of abelian varieties and their amoebas. The projective embeddings are given by theta functions. It is known that a Lagrangian fibration of the abelian variety determines a basis of theta functions. After reviewing the relation from the viewpoint of geometric quantization and mirror symmetry, we prove that the Lagrangian fibration of the abelian variety can be approximated by the moment maps of natural torus action in a suitable sense. In the final section we discuss a part of the result in more general setting.
dc.description64 pages
dc.identifierhttps://arxiv.org/abs/math/0604330
dc.identifierhttp://arxiv.org/abs/math/0604330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111574
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject32Q15, 53D12
dc.titleLagrangian fibrations and theta functions
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