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15
119
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Line bundles correspoding to a hyperplane

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#algebraic-geometry #divisors-algebraic-geometry #line-bundles #algebraic-vector-bundles
165
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Classification of line bundles over surfaces

Published on
#smooth-manifolds #line-bundles #4-manifolds
439
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Why the first Chern class of a line bundle can be non-zero

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#differential-geometry #vector-bundles #curvature #characteristic-classes #line-bundles
62
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Is $\mathcal{O}_{\mathbb{P}^1 \sqcup \, \mathbb{P}^1}$ a non-ample line bundle, and if so, how to show this?

Published on
#algebraic-geometry #sheaf-theory #schemes #projective-space #line-bundles
374
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Any nonzero meromorphic $1$-form on a compact Riemann surface has degree $2g-2$

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#complex-geometry #riemann-surfaces #divisors-algebraic-geometry #line-bundles
262
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Picard group of curves

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#algebraic-geometry #algebraic-curves #riemann-surfaces #divisors-algebraic-geometry #line-bundles
358
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Blow up of a Kähler manifold is Kähler

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#differential-geometry #complex-geometry #characteristic-classes #blowup #line-bundles
45
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What is the relation between structure groups or transition functions of two isomorphic vector bundles?

Published on
#vector-bundles #principal-bundles #spin-geometry #line-bundles
120
Views

dual of the global section of line bundle $\mathscr{O}(1)$

Published on
#algebraic-geometry #line-bundles
177
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Global sections of a line bundle

Published on
#algebraic-geometry #reference-request #schemes #projective-schemes #line-bundles
143
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Seesaw theorem for the pullback of a line bundle via projection map.

Published on
#algebraic-geometry #abelian-varieties #pullback #line-bundles
378
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Pushforward of a globally generated line bundle

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#algebraic-geometry #vector-bundles #line-bundles
170
Views

On Isomorphism of stalk of a line bundle

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#algebraic-geometry #commutative-algebra #sheaf-theory #line-bundles
630
Views

Is compliment of a zero section of a vector bundle a submanifold?

Published on
#smooth-manifolds #vector-bundles #principal-bundles #submanifold #line-bundles
134
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On picard group of an irreducible curve inside a smooth hypersurface

Published on
#algebraic-geometry #reference-request #surfaces #curves #line-bundles

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