List questions from divisors-algebraic-geometry

Published on 29 Mar 2021 - 4:24

219

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Calculating the divisor of an algebraic curve

Published on 14 Apr 2021 - 14:18

60

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Determine the splitting type of a bundle with cokernel as $\mathcal{O}_2p$ or $\mathcal{O}_p\oplus\mathcal{O}_q$

Published on 20 Apr 2021 - 8:04

318

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Fulton's Algebraic Curves Exercise 8.13

Published on 29 Apr 2021 - 17:19

49

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Condition on line bundle to be generated by subgroup of Weil divisors

Published on 30 Apr 2021 - 13:46

79

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Effective divisors $D_1\leq D_2$ such that $h^0(D_1)=h^0(D_2)$, then $D_1=D_2?$

Published on 30 Apr 2021 - 18:58

363

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Weil Reciprocity

Published on 30 Apr 2021 - 21:22

123

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Nef divisor $D$ in an elliptic surface, $D\cdot F=0$ for a fibre $F$, then $D\equiv nF$

Published on 02 May 2021 - 19:36

57

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Can a sequence of blowups be written as one blowup with multiple exceptional divisors (and vice versa)?

Published on 26 Mar 2026 - 14:21

86

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Riemann-Roch to compute $h^0(F)$ where $F$ is a general fiber on a rational elliptic surface

Published on 07 May 2021 - 16:46

168

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Chow group of UFD is trivial?

Published on 23 Feb 2026 - 13:37

74

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Curve $C$ on a rational surface $S$, $h^0(S,\mathcal{O}_S(C))=1$ iff $C$ is an exceptional divisor

Published on 10 May 2021 - 17:16

86

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If $E$ is a curve on a surface $X$ with $E^2=0$, then $h^0(X,\mathcal{O}_X(E))\geq 2$?

Published on 11 May 2021 - 19:28

1.2k

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Nef and semiample divisor

Published on 26 Mar 2026 - 12:05

125

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Computing the order of a rational function at the origin

Published on 19 May 2021 - 1:29

List Question

Sheaf of a certain Weil Divisor is the Structure Sheaf on $A^1$

Calculating the divisor of an algebraic curve

Determine the splitting type of a bundle with cokernel as $\mathcal{O}_2p$ or $\mathcal{O}_p\oplus\mathcal{O}_q$

Fulton's Algebraic Curves Exercise 8.13

Condition on line bundle to be generated by subgroup of Weil divisors

Effective divisors $D_1\leq D_2$ such that $h^0(D_1)=h^0(D_2)$, then $D_1=D_2?$

Weil Reciprocity

Nef divisor $D$ in an elliptic surface, $D\cdot F=0$ for a fibre $F$, then $D\equiv nF$

Can a sequence of blowups be written as one blowup with multiple exceptional divisors (and vice versa)?

Riemann-Roch to compute $h^0(F)$ where $F$ is a general fiber on a rational elliptic surface

Chow group of UFD is trivial?

Curve $C$ on a rational surface $S$, $h^0(S,\mathcal{O}_S(C))=1$ iff $C$ is an exceptional divisor

If $E$ is a curve on a surface $X$ with $E^2=0$, then $h^0(X,\mathcal{O}_X(E))\geq 2$?

Nef and semiample divisor

Computing the order of a rational function at the origin

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