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15
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The cokernel of $H^0(\hat{X},\sigma^*L^k)\to H^0(E,\mathcal{O}_E)\otimes L^k(x)$

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#complex-geometry #sheaf-theory #vector-bundles #sheaf-cohomology
343
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If $w_1$ and $w_2$ have unit modulus and arguments $0<\alpha_1<\alpha_2<\pi/2$, then $\arg(w_1-w_2)=\frac12(\alpha_1+\alpha_2-\pi)$

Published on
#complex-numbers #complex-geometry
132
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Simply connected surfaces and torsion in Grothendieck group

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#algebraic-geometry #reference-request #complex-geometry
307
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The fundamental form is real of type $(1,1)$

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#linear-algebra #complex-geometry
78
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Flat G-bundles with canonical metrics: Computations

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#differential-geometry #complex-geometry
94
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Extension of holomorphic function to exceptional divisors

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#complex-analysis #complex-geometry #several-complex-variables #singularity #singularity-theory
42
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A question about pullback bundle and sheaf

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#complex-geometry #sheaf-theory #vector-bundles
2.5k
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How to linearize Quaternions?

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#geometry #coordinate-systems #rotations #complex-geometry #quaternions
165
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Structure group simply connected implies first chern class vanishes

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#algebraic-topology #complex-geometry #fiber-bundles
82
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Finite etale covers and Grothendieck groups

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#algebraic-geometry #reference-request #complex-geometry
401
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The pullback line bundle restricted on the exceptional divisor is trivial

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#complex-geometry #vector-bundles #complex-manifolds #blowup
168
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The complex structure on $T\mathbb C^n$

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#differential-geometry #manifolds #complex-geometry #tangent-bundle
47
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Mapping and Cauchy- Reimann conditions

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#complex-analysis #complex-geometry #vector-fields #analytic-functions
40
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Non-compact complex foliation on a compact manifold

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#differential-geometry #manifolds #complex-geometry
116
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Any hyperplanes is covered by non-Lefschetz pencils?

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#algebraic-geometry #complex-geometry #intersection-theory

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