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Which line bundle has transition function $\psi_{12}([z_1,z_2])=\frac{z_1/z_2}{|z_1/z_2|}$?

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#differential-geometry #complex-geometry #smooth-manifolds #vector-bundles #projective-space
7.5k
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Vector bundle as locally free coherent sheaves

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#algebraic-geometry #sheaf-theory #complex-geometry #vector-bundles #coherent-sheaves
868
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Interpretation for the curvature and monodromy of a connection - Reality check

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#differential-geometry #algebraic-topology #vector-bundles #principal-bundles
321
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Redundancy in the definition of vector bundles?

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#general-topology #differential-geometry #manifolds #smooth-manifolds #vector-bundles
108
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Differential subbundles of trivial bundle over a segment.

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#analysis #differential-geometry #vector-bundles
55
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What does $P\times_G V\to B$ mean?

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#general-topology #differential-geometry #manifolds #vector-bundles #principal-bundles
371
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Extension of vector bundles on $\mathbb{CP}^1$

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#algebraic-geometry #vector-bundles
149
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The normal bundle of conic

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#algebraic-geometry #algebraic-curves #vector-bundles #coherent-sheaves
166
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Action on algebraic variety and adjoint bundles

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#algebraic-geometry #vector-bundles #schemes #algebraic-groups #principal-bundles
668
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Null-correlation and Tango bundles on $\mathbb{P}^3$

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#algebraic-geometry #vector-bundles #coherent-sheaves
360
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Geometric intuition behind $V(M)=\operatorname{Spec}(\operatorname{Sym}(M))$?

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#algebraic-geometry #vector-bundles #schemes #affine-schemes
1k
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Intuition behind a first Chern class computation

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#algebraic-geometry #vector-bundles
141
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A few questions about vector bundles on an algebraic variety

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#algebraic-geometry #vector-bundles #holomorphic-bundles
378
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Global generation of vector bundles by an exact sequence

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#algebraic-geometry #vector-bundles #holomorphic-bundles
54
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Natural map from cokernel of a monad

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#linear-algebra #algebraic-geometry #complex-geometry #vector-bundles #monads

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