Lectures on complex geometry, Calabi-Yau manifolds and toric geometry

Simple item page
dc.creatorBouchard, Vincent
dc.date2007-02-08
dc.date.accessioned2026-07-07T07:45:31Z
dc.date.available2026-07-07T07:45:31Z
dc.descriptionThese are introductory lecture notes on complex geometry, Calabi-Yau manifolds and toric geometry. We first define basic concepts of complex and Kahler geometry. We then proceed with an analysis of various definitions of Calabi-Yau manifolds. The last section provides a short introduction to toric geometry, aimed at constructing Calabi-Yau manifolds in two different ways; as hypersurfaces in toric varieties and as local toric Calabi-Yau threefolds. These lecture notes supplement a mini-course that was given by the author at the Modave Summer School in Mathematical Physics 2005, and at CERN in 2007.
dc.description63 pages, 15 figures; an older version of these notes was published in the Proceedings of the Modave Summer School in Mathematical Physics 2005
dc.identifierhttps://arxiv.org/abs/hep-th/0702063
dc.identifierhttp://arxiv.org/abs/hep-th/0702063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123554
dc.subjectHigh Energy Physics - Theory
dc.titleLectures on complex geometry, Calabi-Yau manifolds and toric geometry
dc.typetext

Files

Collections

arXiv