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

@article{Bouchard2007LecturesOC, title={Lectures on complex geometry, Calabi-Yau manifolds and toric geometry}, author={Vincent Bouchard}, journal={arXiv: High Energy Physics - Theory}, year={2007} }

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…

## 104 Citations

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