Lectures on Toric Varieties

Lectures on Height Zeta Functions of Toric Varieties

— We explain the main ideas and techniques involved in recent proofs of asymptotics of rational points of bounded height on toric varieties.

Ja n 20 09 Toric geometry and local Calabi - Yau varieties

These lecture notes are an introduction to toric geometry. Particular focus is put on the description of toric local Calabi-Yau varieties, such as needed in applications to the AdS/CFT correspondence in string theory. The point of view taken in these lectures is mostly algebro-geometric but no prior knowledge of algebraic geometry is assumed. After introducing the necessary mathematical definit...

8 M ay 2 00 9 Toric geometry and local Calabi - Yau varieties

These lecture notes are an introduction to toric geometry. Particular focus is put on the description of toric local Calabi-Yau varieties, such as needed in applications to the AdS/CFT correspondence in string theory. The point of view taken in these lectures is mostly algebro-geometric but no prior knowledge of algebraic geometry is assumed. After introducing the necessary mathematical definit...

Toric Varieties Lectures

Symplectic Toric Varieties

These are the notes of two lectures given at the Mini Spring School An introduction to the mathematics of string theory held at Adelaide University in November 2002. It is a leisurely introduction to the mathematics surrounding toric varieties. Lecture I. Aims of Lecture I. (i) To contrast topological, Riemannian, symplectic and complex structures; (ii) to set up various topological objects tha...