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Does the direct sum of two real line bundles admit a non-vanishing section?

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#differential-topology #vector-bundles #line-bundles
57
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The tensor product of a line bundle with its dual $L\otimes L^*$ is isomorphic to the trivial line bundle

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#differential-geometry #manifolds #vector-bundles #line-bundles
124
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Local trivialization of $\mathcal O(-1)$, proposition 2.2.6, complex geometry by Huybrechts

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#algebraic-geometry #reference-request #complex-geometry #online-resources #line-bundles
43
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Construction of a connection 1-form

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#lie-groups #differential-forms #vector-bundles #connections #line-bundles
281
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Algebraic vs Geometric Picard groups

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#differential-geometry #smooth-manifolds #line-bundles
1.2k
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Each divisor arises from a rational section

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#algebraic-geometry #sheaf-theory #schemes #divisors-algebraic-geometry #line-bundles
74
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Low dimensional classifying map determining $\mathcal{O}(k)$ on $\mathbb{P}^n$

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#algebraic-geometry #algebraic-topology #complex-geometry #vector-bundles #line-bundles
79
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The only global section of the tautological line bundle on $\mathbb{P}^n$ is the zero section.

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#algebraic-geometry #maximum-principle #line-bundles
144
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Subbundles of Direct Sum of Holomorphic Line Bundles

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#vector-bundles #riemann-surfaces #holomorphic-bundles #line-bundles
634
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Asymptotic Riemann Roch

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#algebraic-geometry #intersection-theory #sheaf-cohomology #line-bundles
1k
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Degree of the Normal Bundle of a Line in a Projective Variety

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#algebraic-geometry #intersection-theory #line-bundles
355
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How to write holomorphic line bundles on compact Riemann surfaces in coordinates

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#complex-geometry #algebraic-curves #riemann-surfaces #holomorphic-bundles #line-bundles
22.3k
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Divisor -- line bundle correspondence in algebraic geometry

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#algebraic-geometry #divisors-algebraic-geometry #line-bundles
1.5k
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Line bundles on singular curves

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#algebraic-geometry #algebraic-curves #line-bundles
547
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Relationship between the ideal of an effective Cartier divisor and its invertible sheaf

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#algebraic-geometry #sheaf-theory #schemes #divisors-algebraic-geometry #line-bundles

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