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Results tagged with complex-geometry
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user 13439
Complex geometry is the study of complex manifolds, complex algebraic varieties, complex analytic spaces, and, by extension, of almost complex structures. It is a part of differential geometry, algebraic geometry and analytic geometry.
2
votes
1
answer
179
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Analytic sections of a GIT quotient lying in the Kempf-Ness set
I would like to understand whether the following is true. Given a complex reductive group $G$ (for me $G = \operatorname{PGL}_n(\mathbb{C})$) acting on a vector space $V$ (for me $V = M_n(\mathbb{C})^ …
- 431
3
votes
0
answers
49
views
Geodesics in norm balls
Recently, some problems that I work on require that I understand a bit of hyperbolic complex geometry. Assume that $B \subset \mathbb{C}^n$ is the unit ball of some norm $\|\cdot\|$ (not induced by an …
- 431
1
vote
0
answers
98
views
Holomorphic line bundles on smooth points of a quotient
I am an amateur algebraic geometer, so maybe this question is trivial and if this is the case, then I apologize. This is a question that came up while working on something completely different.
Consi …
- 431