Organizer: Yuchen Liu
Office: LOM 219B
Office hours: by appointments
Main textbook: Complex Algebraic Surfaces, 2nd edition, Arnaud Beauville, Cambridge University Press.
Algebraic Geometry Chapter V, Robin Hartshorne, Springer.
Compact Complex Surfaces, 2nd enlarged edition, W. Barth, K. Hulek, C. Peters, and A. van de Ven, Springer.
Lecture notes by Ravi Vakil.
We meet for Lectures on Wednesdays from 10:30am to 12pm.
Wed Sep. 5: First meeting, intersection of curves on surfaces
Wed Sep. 12: Riemann-Roch theorem, blow-ups
Thu Sep. 20 (2-3:30pm): Rational maps, elimination of indeterminancy
Wed Oct. 3: Decomposition of birational maps, Castelnuovo's contractibility criterion
Wed Oct. 10: Ruled surfaces, Noether-Enriques theorem
Fri Oct. 26 (8:30-10am): Minimal ruled surfaces, Grothendieck splitting theorem
Wed Oct. 31: Ruled surfaces over elliptic curves, numerical invariants of ruled surfaces
Wed Nov. 28: MMP for surfaces
Wed Dec. 5: Abundance for surfaces of general type
Fri Dec. 14 (10:30-12pm): Introduction to K3 surfaces