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Holomorphic $K$-theory

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#algebraic-topology #complex-geometry #topological-k-theory #k-theory #holomorphic-bundles
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Quick question: Chern classes of Sym, Wedge, Hom, and Tensor

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#algebraic-geometry #surfaces #vector-bundles #characteristic-classes #holomorphic-bundles
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On the Chern connection

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#differential-geometry #complex-geometry #vector-bundles #holomorphic-bundles
151
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Basic question: irregularity and geometric genus in Hodge theory

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#complex-analysis #algebraic-geometry #hodge-theory #holomorphic-bundles
560
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Divisor of meromorphic section of point bundle over a Riemann surface

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#algebraic-geometry #riemann-surfaces #holomorphic-bundles
493
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Degree of a torsion-free subsheaf

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#algebraic-geometry #sheaf-theory #vector-bundles #coherent-sheaves #holomorphic-bundles
217
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Not taking holomorphic bundles for granted

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#algebraic-geometry #complex-geometry #riemann-surfaces #vector-bundles #holomorphic-bundles
878
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Isomorphisms (and non-isomorphisms) of holomorphic degree $1$ line bundles on $\mathbb{CP}^1$ and elliptic curves

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#algebraic-geometry #complex-geometry #riemann-surfaces #vector-bundles #holomorphic-bundles
1k
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Complex structure on the Jacobian of a Riemann surface

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#algebraic-geometry #complex-geometry #riemann-surfaces #holomorphic-bundles
152
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Holomorphic functions on the singular locus unique liftable

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#complex-analysis #algebraic-geometry #complex-geometry #holomorphic-bundles
342
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Definition of Higgs bundle

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#differential-geometry #differential-forms #vector-bundles #holomorphic-bundles
348
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Higgs bundle and spectral curve

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#differential-geometry #vector-bundles #holomorphic-bundles #co-tangent-space
53
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Direct image of sheafs

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#differential-geometry #vector-bundles #holomorphic-bundles
30
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Definition of holomorphic vector bundle using sheafs

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#complex-analysis #differential-geometry #sheaf-theory #holomorphic-bundles
98
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Kummer suface ; the resolution has a holomorhic (2,0)-form .

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#complex-geometry #kahler-manifolds #complex-manifolds #holomorphic-bundles #k3-surfaces

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