Author Archives: kingleunglee

a note of Professor Simon Donaldson talk- The Ding functional, Berndtsson convexity and moment maps.

It is a note of Professor Simon Donaldson talk- The Ding functional, Berndtsson convexity and moment maps. The notes is on the link above. Advertisements

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Proof of Fundamental Theorem of Algebra

I am trying to make a proof of  Fundamental Theorem of Algebra which is seem to be understandable by secondary school student. Although I use some topological argument, but I think I could  cheat them except the point I have … Continue reading

Posted in Analysis | 3 Comments

A problem in complex analysis

Let be smooth. Under what condition, f can be sepearate to two part, that is, , where be smooth such that g depends only in and h is holomorphic. (I do not know if it is useful or not:. There … Continue reading

Posted in Analysis | 3 Comments

open mapping theorem(complex analysis)

By Zorn leung Does open mapping theorem holds in  for n>1?

Posted in Analysis | 2 Comments

a question about compex analysis

Let be a meromorphic function(note, i.e.  ) . Ask:   for all r? Remark, it can be shown that if r is small enough, then the statement is true, basically by argument principle implies will surrounding 1, hence it has … Continue reading

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A question about line bundle

Let be a compact complex projective manifold, i.e., we can embedded into for some . Assume be a line bundle on , and be corresponding line bundle on . Now, we have if  is a holomorphic section on , it … Continue reading

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