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Results tagged with complex-geometry
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user 4231
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.
3
votes
Questions Suggested by the Parabolic Subgroup Definition
Mike Skirvin has sorted out some of the main issues here, but the language used in the original question tends to confuse matters. The framework is the Borel-Chevalley structure theory of linear alge …
- 52.9k
11
votes
Why are the holomorphic line bundle sections finite dimensional?
Since the question involves only classical ideas, it's enough to refer to work of Serre and others explained by Hartshorne in section III.5 of his text on algebraic geometry. In quite a bit of genera …
- 52.9k
5
votes
Automorphism group of flag manifolds?
While the question and answers have explained different aspects of the story for complex groups and homogeneous spaces, it might be worthwhile to place the question in a broader context. The complex …
- 52.9k
39
votes
Accepted
Rep Theory Consequences of Bott--Weil--Borel
It's always a good idea to ask (as students typically do) why one is studying a particular subject or theorem. Here are some of my views, from the algebraic side of representation theory:
1) The or …
- 52.9k