JÁNOS KOLLÁR

ADDRESS

Department of Mathematics
Princeton University
Fine Hall, Washington Road Princeton, NJ 08544-1000

email: kollar@math.princeton.edu

Office: 605 Fine Hall
Math Department Phone: (609) 258 - 4200
Math Department Fax: (609) 258 - 1367

Algebraic Geometry Seminar

Book on Moduli of Surfaces --- ongoing project

I am writing a book on the moduli of varieties of general type, more generally about the moduli of pairs (X,D) such that K_X+D is ample. I will try to keep posting the chapters as they get written. As usual, in writing a chapter one discovers that the earlier ones should be changed, so I will try to update them as well. Others agreed to contribute various sections, these will be added as they become available. Since these are not final notes, citations, references, proofs or even entire sections may be missing. Any comments, corrections or suggestions are welcome.
  • Chapter 1: Introduction
    • This is mostly a review of moduli theory, with lots of examples of what can go wrong for varieties that are not canonically polarized, or too singular, or ...
  • Chapter 2: Canonical models
    • This is mostly a review of the theory of canonical models, with special attention to the various important classes of singularities. (For example, canonical, klt, dlt, rational, log canonical, Du Bois, ...)
  • Chapter 3: Semi log canonical pairs
    • This gives the construction of the higher dimensional analogs of stable curves. Some of it is quite technical.

    MAT 416: Introduction to Algebraic Geometry

  • Topics for student projects in algebraic geometry
  • MAT 416: Homework for Algebraic Geometry

    • OLD E-PRINTS:

    Unless otherwise indicated, the files below are postscript files.

    Seminar on Moduli of Surfaces --- Summer 1994

    Santa Cruz 1995

    Preprints

    BOOKS:

    EDITORIAL INFORMATION: