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2 votes
1 answer
216 views

Principal elliptic bundles over curve with Kähler total space

I wonder what could be a Kähler surface, which is a total space of principal elliptic bundle over a curve. I believe that there is a classification and that it must be pretty simple, but I cannot find ...
 V. Rogov's user avatar
  • 1,170
3 votes
1 answer
288 views

Kähler classes for surfaces of general type with $c_1^2=3c_2$

Given a smooth, compact complex surface with ample canonical bundle satisfying $c_1^2=3c_2$, is it true that every Kahler class is a multiple of $c_1$? This seems to be the case for fake projective ...
Vamsi's user avatar
  • 3,383