Schedule & notes
Weekly meetings
Week I: Itaka fibrations, Semiample, Big line bundles, etc. (Notes)
Reference: Lazarsfeld; Positivity in Algebraic Geometry I - Sections 2.1, 2.2.
Week II: Starting with the definition of discrepancies we will define singularities of a
normal Q-Cartier variety. A little bit about surface singularities and then we moved
on to define a pair and its singularities. (Notes)
Week III: Overview of the Cone and Contraction Theorems, with some consequences. We
saw different types of contractions and a few of their properties. (Notes)
Week IV: More properties of contractions, and the notion of Flip. (Notes)
Week V: Examples. (Notes)
Week VI: We will start with the basic definitions of valuations and divisorial rings, and will
see some consequences of the finite generation of such rings. (Speaker: Shreya Sharma, Notes)
Week VII: With a few more consequences of the finite generation we will move towards the
proofs of the fundamental theorems of MMP. (Speaker: Jonathan Smith, Notes)