1
$\begingroup$

I randomly came across a 2007 article by Kollár in which the author makes a mathematical statement and explicitly states that it is in contradiction with a result contained in a 2004 article by Schumacher--Tsuji.

So, just out of curiosity: how has the matter settled since 2007? Are there non-quasi-projective moduli spaces of polarized varieties, or not?

Improve this question
$\endgroup$
4
  • 4
    $\begingroup$ What does MathSciNet say? $\endgroup$
    – Jason Starr
    Commented Jan 30, 2014 at 3:51
  • $\begingroup$ Dude, the title of that article by Kollár should give you a hint. This question was settled with that article. What else do you expect? This is not a philosophical debate where someone might come up with something new that will invalidate what Kollár did. $\endgroup$
    – Sándor Kovács
    Commented Jan 31, 2014 at 3:07
  • $\begingroup$ Tsuji has used of Ricci iteration method in this paper you mentioned, I personally couldn't accept his method. I asked a lot of well known mathematicians, nobody accepted his method up to now $\endgroup$
    – user21574
    Commented Apr 24, 2016 at 21:49
  • 1
    $\begingroup$ The earlier paper has recently been retracted: projecteuclid.org/journals/annals-of-mathematics/volume-198/… $\endgroup$
    – YuiTo Cheng
    Commented Oct 29 at 16:09

0

Reset to default

You must log in to answer this question.