List questions from divisors-algebraic-geometry

Published on 03 Apr 2022 - 21:56

53

Views

Definition of $\nu_C(f)$ where $C$ is a subvariety of codimension 1 and $f$ is rational.

Published on 05 Apr 2022 - 16:01

432

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What is a Cartier divisor on an affine scheme ring-theoretically?

Published on 10 Apr 2022 - 4:17

98

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Why do we have $\mu_* \mathcal{O}_Y(K_{Y/X}) = \mathcal{O}_X$ for a resolution?

Published on 26 Mar 2026 - 12:57

55

Views

How is it that the quotitient of two rationals is a common divisor for both?

Published on 16 Apr 2022 - 23:10

137

Views

Calculating divisor of function on elliptic curve

Published on 30 Apr 2022 - 9:58

152

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Is a base point free nonspecial invertible sheaf generated by two global sections?

Published on 06 May 2022 - 13:42

194

Views

Decomposing a big and nef divisor into ample + effective

Published on 20 May 2022 - 21:56

225

Views

Fibers of the Abel Jacobi map over curves

Published on 23 Feb 2026 - 11:55

237

Views

For Divisors, do we use order of the point or multiplicity of the point?

Published on 26 May 2022 - 11:37

69

Views

Why is the number of poles of this function on a curve not the same as the number of zeros?

Published on 01 Jun 2022 - 12:00

100

Views

Structural sheaf of a submanifold

Published on 02 Jun 2022 - 16:09

66

Views

An Exact Sequence of Chow Groups: Fulton Proposition 1.8

Published on 03 Jun 2022 - 11:30

582

Views

Why is the generator of the Picard group of $\mathbb{P}^1$ isomorphic to $\mathcal{O}(1)$?

Published on 08 Jun 2022 - 17:43

230

Views

Intersection Number vs Intersection Multiplicity

Published on 09 Jun 2022 - 0:31

List Question

Is a degree zero divisor on a curve always basepoint-free?

Definition of $\nu_C(f)$ where $C$ is a subvariety of codimension 1 and $f$ is rational.

What is a Cartier divisor on an affine scheme ring-theoretically?

Why do we have $\mu_* \mathcal{O}_Y(K_{Y/X}) = \mathcal{O}_X$ for a resolution?

How is it that the quotitient of two rationals is a common divisor for both?

Calculating divisor of function on elliptic curve

Is a base point free nonspecial invertible sheaf generated by two global sections?

Decomposing a big and nef divisor into ample + effective

Fibers of the Abel Jacobi map over curves

For Divisors, do we use order of the point or multiplicity of the point?

Why is the number of poles of this function on a curve not the same as the number of zeros?

Structural sheaf of a submanifold

An Exact Sequence of Chow Groups: Fulton Proposition 1.8

Why is the generator of the Picard group of $\mathbb{P}^1$ isomorphic to $\mathcal{O}(1)$?

Intersection Number vs Intersection Multiplicity

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