• Corpus ID: 9746750

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

  title={Lectures on complex geometry, Calabi-Yau manifolds and toric geometry},
  author={Vincent Bouchard},
  journal={arXiv: High Energy Physics - Theory},
  • V. Bouchard
  • Published 8 February 2007
  • Mathematics
  • arXiv: High Energy Physics - Theory
These 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… 

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