Algebraic Surfaces

Intersection theory; Riemann-Roch; blowups, Castelnuovo’s contractability theorem and birational transformations; ruled surfaces; rational surfaces; Castelnuovo’s rationality criterion. Extra topics (as time allows) to be chosen from the following: elementary transformations, the Cremona group in the plane,  Enriques’ classification, etc.

References:
BEAUVILLE, A. – Complex algebraic surfaces. 2nd ed. New York: Cambridge University Press, 1996.