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13
137
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How to prove $\operatorname{Pic}(\mathbb{P}_X^n)\cong\operatorname{Pic}(X)\times\mathbb{Z}$?

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#algebraic-geometry #projective-space #picard-scheme
61
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Interpreting some cohomology groups

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#algebraic-geometry #arithmetic-geometry #spectral-sequences #etale-cohomology #picard-scheme
127
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A condition that implies $f_* \mathcal{O}_X \cong \mathcal{O}_S$

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#algebraic-geometry #picard-scheme
152
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Structure ring of constant group scheme.

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#number-theory #algebraic-geometry #schemes #group-schemes #picard-scheme
92
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Assumptions on a scheme X needed to construct the Picard scheme $\operatorname{Pic}(X)$

Published on
#algebraic-geometry #moduli-space #picard-scheme
225
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Fibers of the Abel Jacobi map over curves

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#algebraic-geometry #projective-space #divisors-algebraic-geometry #fibre-product #picard-scheme
43
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Basic questions on Picard group (references)

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#commutative-algebra #schemes #affine-schemes #ideal-class-group #picard-scheme
44
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What is the union of picard variety?

Published on
#algebraic-geometry #abelian-varieties #picard-scheme
391
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Global sections of algebraically trivial line bundle

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#algebraic-geometry #intersection-theory #picard-scheme
112
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Embedding of Picard functor into $\text{Hom}_k(-,\text{Pic}(X/k))$

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#algebraic-geometry #picard-scheme
46
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On the Picard group of the affine n-space over a normal affine base scheme

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#algebraic-geometry #schemes #affine-geometry #affine-schemes #picard-scheme
33
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Iterative scheme of succesive approximations for a particular integral equation.

Published on
#functional-analysis #solution-verification #picard-scheme
46
Views

Picard's theorem and Cauchy sequences in different norms

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#uniform-convergence #cauchy-sequences #equivalent-metrics #picard-scheme

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