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Invariance
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4 votes
0 answers
441 views

Confusion about the proof of Poincaré lemma for Currents

3 votes
1 answer
79 views

zero extension of positive currents are always positive

3 votes
1 answer
306 views

Hartshorne Chapter V Proposition 1.5

3 votes
0 answers
132 views

Relationship between the holonomy pseudogroup and holonomy homomorphism (foliation)

3 votes
1 answer
102 views

Sheaf inclusion for globally generated coherent sheaf

2 votes
1 answer
81 views

on constructing a d-closed form on a manifold

2 votes
0 answers
148 views

Direct image sheaf and sheaf of direct image (of divisors)

2 votes
2 answers
93 views

How to show that $AA^*+B^*B$ is invertible if $U\stackrel{A}\to V\stackrel{B}\to W$ is exact?

2 votes
0 answers
215 views

'General' adjunction formula

2 votes
1 answer
82 views

Projection of holomorphic vector bundle onto subvectorbundle

2 votes
0 answers
96 views

about the subbundle in complex geometry by daniel huybrechts

2 votes
0 answers
97 views

The unique flat connection $\nabla$ with $\nabla ^{0,1}=\overline \partial $ when betti number $b_1(X)=0$.

2 votes
0 answers
68 views

A question about the sequence of holomorphic vector bundle

2 votes
1 answer
318 views

two almost complex structure define isomorphic complex manifolds

2 votes
1 answer
353 views

Question about the (pseudo)-holomorphic map between almost complex manifolds

2 votes
0 answers
109 views

Why we need the condition $H^2(X,\mathbb Z)$ is torsion free?

2 votes
0 answers
71 views

Complex geodesic coordinate, local ramified map, and the conic metric

1 vote
1 answer
341 views

some examples of the Soft sheaves but not fine

1 vote
1 answer
67 views

The existence of the natural morphism $f_*\omega_{\widetilde X}\rightarrow\omega_X$.

1 vote
1 answer
100 views

Why can we assume that $X$ is normal to prove the equality in Lazarsfeld?

1 vote
1 answer
108 views

canonical meromorphic section of a line bundle associated with a divisor

1 vote
0 answers
139 views

How to show for a complex torus,$Pic^0(Pic^0(X))$ is isomorphic to $X$

1 vote
0 answers
149 views

Why my proof is wrong(complex vector bundle$E\cong E^*$)

1 vote
0 answers
168 views

Exercise 2.3.2 in Huybrechts Complex geometry

1 vote
1 answer
405 views

blow-up of a surface in a point

1 vote
0 answers
51 views

How to explicitly show this equality involving wedge and tensor?

1 vote
0 answers
80 views

Finding the kernel between two quotient modules

1 vote
0 answers
92 views

Cor 1.2.28 (Finite pullback) in Lazarsfeld's Book

1 vote
0 answers
25 views

How to make appropriate substitutions to prove this integral is locally integrable

1 vote
0 answers
138 views

How can I prove this inequality involving the change of integral domains