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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.
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
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