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15
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Remembering Riemann-Roch

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#algebraic-geometry #complex-geometry #algebraic-curves #riemann-surfaces #line-bundles
137
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Does the canonical line bundle coincide with dualizing sheaf when the base scheme is arbitrary

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#algebraic-geometry #duality-theorems #line-bundles
117
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Polarization of abelian variety made by the sum of two divisors

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#algebraic-geometry #divisors-algebraic-geometry #abelian-varieties #line-bundles
199
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Direct proof for $\mathcal{O}_{\mathbb{CP}_{1}}(-2) \cong T^{*}\mathbb{CP}_{1}$

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#complex-geometry #holomorphic-bundles #line-bundles
362
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Identify a pullback line bundle on $\mathbb{P}^1$

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#algebraic-geometry #pullback #line-bundles
143
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Prove is a line bundle

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#algebraic-geometry #complex-geometry #line-bundles
839
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When does the Picard group embeds inside the divisor class group?

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#algebraic-geometry #schemes #divisors-algebraic-geometry #line-bundles
78
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Local class group and Class group of localizations

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#commutative-algebra #divisors-algebraic-geometry #line-bundles
758
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Relation between tautological line bundle and blow up at the origin

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#algebraic-geometry #blowup #projective-varieties #line-bundles
34
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What is the connection between divisors and line bundles?

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#algebraic-geometry #algebraic-curves #divisors-algebraic-geometry #line-bundles
200
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Explicit description of $\mathcal{O}_{\Bbb{P}^1}(-1)$ as a line bundle

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#algebraic-geometry #quasicoherent-sheaves #line-bundles
83
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Tautological bundle of $\mathbb{P}^1(\mathbb{C})$

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#complex-geometry #vector-bundles #line-bundles
89
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$\mathcal{O}_{\mathbb{P}^1}(d)\cong L(d)$

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#algebraic-geometry #sheaf-theory #line-bundles
33
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Subbundle of hermitian maps is isomorphic (as a bundle) to $M\times i\Bbb R$

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#almost-complex #line-bundles
161
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Global differential form arising from an hermitian line bundle

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#differential-geometry #differential-forms #riemann-surfaces #line-bundles

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