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21 Nov 2012 The standard answer to these type of questions on MO is "ask your (potential) PhD advisors", and I think here it applies even more so than
Because of this, the particular type of singularities that .. In fact, here I am skipping the mentioning of the Minimal Model Program, which is a beautiful and very
Giving a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties, this book will become a
8 Aug 2013 One fundamental problem of birational algebraic geometry is to define and characterize a minimal model in each birational equivalence class
Conjecture 2.3 (Guiding conjecture of the MMP). Any smooth ignore singularities completely, but the reader should remember they are there. . by an inductive procedure known as “running the minimal model program." In brief, we would
Three Dimensional Terminal Singularities Explicit Minimal Model Program in Dimension Three Reid, Young person's guide to canonical singularities. Proc.
Fujino, Osamu, Fundamental theorems for the log minimal model program, J: Singularities of stable varieties Kova'cs, Sa'ndor J: Young person?s guide to
singularities of stable varieties including some recent results. The structure of minimal model program, mainly from a moduli theoretic point of view. In §7 I is urged to take a thorough look at Miles Reid's Young person's guide to canonical.
how these singularities fit into the minimal model program and moduli theory. . reader is urged to take a thorough look at Miles Reid's Young Person's Guide.

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March 2018