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15
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Intuitively, what does being a UFD have to do with line bundles/first homology

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#algebraic-geometry #commutative-algebra #unique-factorization-domains
882
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Sections of a line bundle can be extended if the complement is of codimension 2?

Published on
#algebraic-geometry #complex-geometry #line-bundles
76
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Relationship between Null Homotopy and Homology of Spheres

Published on
#algebraic-geometry #algebraic-topology #soft-question #homology-cohomology #math-history
92
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Shafarevich, locally regular $\Rightarrow$ globally regular

Published on
#algebraic-geometry #affine-varieties #projective-varieties
42
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Finding the line containing a point at infinity and a point of the form $(x:y:1)$

Published on
#algebraic-geometry
48
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Characteristic of a field and algebraic curves

Published on
#algebraic-geometry
135
Views

Definition of affine space as a quasiprojective variety, Shafarevich

Published on
#algebraic-geometry
445
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Can scheme be covered by affine schemes like varieties?

Published on
#algebraic-geometry #schemes
81
Views

Special change of coordinates for 1-form

Published on
#geometry #algebraic-geometry
67
Views

$\mathbb{F}_q(t)$ vs $\mathbb{F}_q[t]$?

Published on
#algebraic-geometry #field-theory #notation #finite-fields #function-fields
472
Views

Differential 1-forms on an irreducible projective variety

Published on
#algebraic-geometry #differential-forms #projective-schemes #projective-varieties
164
Views

Confusion about infinite product of fields

Published on
#algebraic-geometry #commutative-algebra #fake-proofs
174
Views

Strength of "every affine scheme is compact"

Published on
#algebraic-geometry #set-theory #axiom-of-choice
519
Views

Special fiber is geometrically connected if the generic fiber is under properness assumption?

Published on
#algebraic-geometry
343
Views

Denseness of algebraic points within a variety

Published on
#algebraic-geometry #real-algebraic-geometry

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