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HI, I am having some hard time finding a reference in this topic. I don't want to get right away into the Kollar's articles, because it can be a little too technical for me. Do you know a good place to learn it? Like most people I did read Hartshorne, but also like most people I suffered it a lot. Of course, I do expect to get into the full details, but I was hoping for some introduction and perspective.

Thanks

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    $\begingroup$ I assume you know about the book Kollár is writing? math.princeton.edu/~kollar Maybe that's what you meant though? $\endgroup$
    – Karl Schwede
    Commented Sep 5, 2011 at 16:18
  • $\begingroup$ thanks for pointing it out. I was just wondering if there are short notes. In the style of Vakil's note about stable reduction: math.stanford.edu/~vakil/files/sm.pdf $\endgroup$
    – mathSt
    Commented Sep 5, 2011 at 23:28
  • $\begingroup$ I'm not sure, Maybe Sandor or Zsolt or VA would know better? $\endgroup$
    – Karl Schwede
    Commented Sep 6, 2011 at 14:36

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The best introduction of Kollar Shepherd-Barron compactification of moduli spaces

appears here Advanced Course on Compactifying Moduli Spaces

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