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112
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Relation between $\text{Pic}(X)$ and $\text{Cl}(X)$ in singular varieties

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#algebraic-geometry #divisors-algebraic-geometry
91
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EDITED: What is the correspondence between the associated sheaves and subschemes of Weil prime divisors?

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#abstract-algebra #algebraic-geometry #schemes #divisors-algebraic-geometry #projective-schemes
254
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Restriction of $\mathcal O_X(D)$ to a prime divisor occuring in $D$

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#algebraic-geometry #divisors-algebraic-geometry #abelian-varieties
103
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Dimension of the space $L(D)$ for $D$ a hyperplane divisor

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#algebraic-geometry #algebraic-curves #divisors-algebraic-geometry
205
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Question about divisors on curves.

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#algebraic-geometry #algebraic-curves #divisors-algebraic-geometry
782
Views

Blow-up of $\mathbb{P}^2$ at a point has Picard group $\mathbb{Z}\oplus\mathbb{Z}$

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#algebraic-geometry #divisors-algebraic-geometry #blowup
317
Views

restriction map of divisor class groups

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#algebraic-geometry #schemes #divisors-algebraic-geometry
181
Views

Example II.6.5.2 in Hartshorne (Part II)

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#schemes #divisors-algebraic-geometry
79
Views

Proof of the projection formula $(\pi^*D)\cdot D'=D\cdot (\pi_*D')$

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#algebraic-geometry #divisors-algebraic-geometry #birational-geometry
403
Views

Principal divisor $P+Q+R-3\infty$ on elliptic curve comes from a straight line

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#algebraic-geometry #elliptic-curves #divisors-algebraic-geometry
92
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Divisors in complete intersection coming from divisors of the intersected varieties

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#algebraic-geometry #complex-geometry #intersection-theory #divisors-algebraic-geometry
159
Views

Strictness of Lefschetz Hyperplane Theorem

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#algebraic-geometry #complex-geometry #divisors-algebraic-geometry
110
Views

Divisor group of a integral scheme of dimension one

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#schemes #divisors-algebraic-geometry
62
Views

Algebraic aspect of (Riemann) surface

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#algebraic-geometry #riemann-surfaces #divisors-algebraic-geometry
55
Views

Bertini for finite morphisms

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#algebraic-geometry #divisors-algebraic-geometry #positive-characteristic

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