Algebraic surfaces in positive characteristic

Abstract

These notes grew out of a series of lectures given at Sogang University, Seoul, in October 2009. They were meant for complex geometers, who are not familiar with characteristic-p-geometry but who would like to see similarities, as well as differences, to complex geometry. More precisely, these notes are on algebraic surfaces in positive characteristic and assume familiarity with the complex side of this theory, say, on the level of Beauville’s book [9].