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15
159
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Divisors and holomorphic map between a compact Riemann surface and a torus

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#riemann-surfaces #compact-manifolds #complex-manifolds
662
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Almost complex structure compatible with Levi-Civita connection of immersed submanifold?

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#manifolds #riemannian-geometry #kahler-manifolds #complex-manifolds #connections
638
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Difference between Kuranishi's existence theorem and Kodaira-Spencer's version.

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#deformation-theory #complex-manifolds #moduli-space
905
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Is a Variety a manifold?

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#algebraic-geometry #manifolds #smooth-manifolds #complex-manifolds
1.1k
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Canonical orientation of a complex manifold

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#differential-geometry #complex-manifolds
703
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Covering of Projective line

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#algebraic-curves #riemann-surfaces #complex-manifolds
213
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$(1,0)$-forms on a complex manifold

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#differential-geometry #complex-geometry #differential-forms #complex-manifolds #almost-complex
351
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Pullback and quadratic differentials on Riemann surfaces

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#differential-geometry #riemann-surfaces #complex-manifolds
483
Views

Is the exponential map of GL(n,C) holomorphic?

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#complex-analysis #lie-groups #lie-algebras #several-complex-variables #complex-manifolds
413
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Finding poles of quadratic differentials

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#complex-analysis #riemann-surfaces #complex-manifolds
243
Views

(Path)Connectedness of $w^{2} = \sin z$.

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#riemann-surfaces #connectedness #complex-manifolds
269
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Non Hausdorff complex manifold?

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#general-topology #complex-manifolds
409
Views

Zeros of a holomorphic function.

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#complex-analysis #geometry #complex-manifolds
57
Views

Basic question: $H^1$ and $H^{0,1}$

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#algebraic-geometry #homology-cohomology #hodge-theory #complex-manifolds
634
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Manifold of all 2x2 Hermitian Matrices

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#matrices #complex-manifolds

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