Toric Varieties, Spring 2021 (MATH 603A)


Dates and Times: MWF 2:20-3:20pm
Zoom link: check the MyCourses page or contact the instructor
Instructor: Alexander Borisov
Syllabus: See the MyCourses page or click here

Some Useful Texts
David A. Cox. Lectures on Toric Varieties
Jean-Paul Brasselet. Introduction to Toric Varieties
V.I. Danilov. The Geometry of Toric Varieties
Geert Popma. Toric Geometry. An introduction to toric varieties with an outlook towards toric singularity theory
Tadao Oda. Convex Bodies and Algebraic Geometry. An Introduction to the Theory of Toric Varieties. (optional) ISBN 978-3-642-72549-4
J.W.S. Cassels. An Introduction to the Geometry of Numbers. (optional) ISBN 978-3-540-61788-4


Notes and Videos
Lecture 1. Notes and Video ............... Lecture 2. Notes and Video ............... Lecture 3. Notes and Video
Lecture 4. Notes and Video ............... Lecture 5. Notes and Video ............... Lecture 6. Notes and Video
Lecture 7. Notes and Video ............... Lecture 8. Notes and Video ............... Lecture 9. Notes and Video
Lecture 10. Notes and Video ............. Lecture 11. Notes and Video .............. Homework 1
Lecture 12. Notes and Video ............. Lecture 13. Notes and Video ............. Lecture 14. Notes and Video
Some useful resources by J.S. Milne: Fields and Galois Theory (see Chapter 9) and Commutative Algebra (see Section 19).
Lecture 15. Notes and Video ............. Lecture 16. Notes and Video ............. Lecture 17. Notes and Video
Lecture 18. Notes and Video ............. Lecture 19. Notes and Video ............. Lecture 20. Notes and Video
Lecture 21. Notes and Video ............. Lecture 22. Notes and Video ............. Homework 2
Lecture 23. Notes and Video ............. Lecture 24. Notes and Video ............. Lecture 25. Notes and Video
Lecture 26. Notes and Video ............. Lecture 27. Notes and Video ............. Lecture 28. Notes and Video
Mori-Morrison-Morrison paper
Lecture 29. Notes and Video ............. Lecture 30. Notes and Video ............. Lecture 31. Notes and Video
Jim Lawrence's paper
Lecture 32. Notes and Video ............. Lecture 33. Notes and Video ............. Lecture 34. Notes and Video
Lecture 35. Notes and Video ............. My paper on quotient singularities, integer ratios of factorials and RH