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awarded  Good Question
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Dec
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Dec
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accepted Is the homology class of a compact complex submanifold non-trivial?
Dec
4
comment Is the homology class of a compact complex submanifold non-trivial?
If I understand correctly the wiki section about Hopf surfaces, your $X$ has the structure of a bundle over the projective line with elliptic curves as fibers; I find it a bit annoying that both the fiber and the zero section provide compact complex submanifolds which are trivial in homology! Anyway this is exactly what I was looking for, thank you.
Dec
3
revised Is the homology class of a compact complex submanifold non-trivial?
context/motivation added
Dec
2
revised Is the homology class of a compact complex submanifold non-trivial?
fixed an index
Dec
2
asked Is the homology class of a compact complex submanifold non-trivial?
Nov
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awarded  Nice Question
Oct
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Oct
23
comment Are there closed Riemann surfaces without non-constant holomorphic functions?
I think your hint proves the converse, i.e. that on a compact Riemann surface every holomorphic function is constant
Sep
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Sep
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reviewed No Action Needed Does one Lie subgroup imply the existence of another in this situation?
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May
28
revised Extension of biholomorphisms between planar domain to Möbius transformations
edited title
May
28
asked Extension of biholomorphisms between planar domain to Möbius transformations
Apr
21
asked Index of a zero of a normal vector field