Course Calendar for Positivity in Algebraic Geometry, Part III, L18

MR13, Lecture 1. Th, Jan 18,
Introduction: field extensions and morphisms.
Summary

MR13, Lecture 2. T, Jan 30,
Ampleness.
Summary

MR13, Lecture 3. Th, Feb 1,
Weil divisors and Cartier divisors, part 1.
Summary (Akhil Mathew's notes)

MR13, Lecture 4. T, Feb 6,
Weil divisors and Cartier divisors, part 2.
Summary (Akhil Mathew's notes)

MR13, Lecture 5. Th, Feb 8,
Divisors and linear systems.
Summary

MR13, Lecture 6. Sa, Feb 10,
Intersection theory on Surfaces.
Summary

MR13, Lecture 7. T, Feb 13,
Hodge index theorem and blow ups.
Summary

MR13, Lecture 8. Th, Feb 15,
Birational maps on surfaces
Summary

MR5, Lecture 9. Sa, Feb 17,
Castelnuovo's criterion.
Summary

MR13, Lecture 10. T, Feb 20,
Intersection theory and ampleness revisited.
Summary

MR13, Lecture 11. Th, Feb 22,
Nakai's criterion.
Summary

MR13, Lecture 12. T, Feb 27,
Rational and real ample divisors and Kleiman's theorem.
Summary

MR6, Example class 1. T, Feb 27.
Example sheet

MR13, Lecture 13. Th, Mar 1,
Divisors and curves modulo linear equivalence: nef cone, ample cone and cone of effective curves.
Summary

MR13, Lecture 14. Th, Mar 8,
Kleiman's criterion and more examples on ampleness.
Summary

MR13, Lecture 15. T, Mar 13,
Iitaka's fibration.
Summary

MR6, Example class 2. T, Mar 13.
Example sheet

MR5, Example class 3. Th, Apr 26.
Example sheet

MR12, Revision class. Tu, May 15.
Exercises