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Results tagged with complex-geometry
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user 6153
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.
27
votes
Why is the Hodge Conjecture so important?
Here are three points, and you'd have to care about at least one of them, I think.
(1) A (co)homology class is better understood if it is represented geometrically in some way.
This point really bel …
- 12.6k
1
vote
Accepted
graph of elliptic curve inside projective space
I'm not quite sure about the formulation of the question: but there is something worth saying anyway, since it isn't often emphasised in basic texts. The points of order 3 can be identified with the i …
- 12.6k
0
votes
What's dual torus and mirror manifold?
As said before, there is an answer in terms of the dual vector space, and this definition is purely algebraic. But there is a second answer, in terms of Pontryagin duality. These answers are not trivi …
- 12.6k