List questions from birational-geometry

Published on 25 Mar 2026 - 9:39

396

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Blow up the elliptic singularity $x^2+y^3+z^6=0$

Published on 09 Mar 2020 - 4:12

42

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$\mathbb{C}(s_1,s_2,k)=\mathbb{C}(x,y)$, where $s_1,s_2$ are symmetric and $k$ is skew-symmetric

Published on 25 Mar 2026 - 9:39

320

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Sections of the exceptional divisor of a blowup

Published on 16 Mar 2020 - 20:36

174

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The image of the point at infinity under birational equivalence from an elliptic curve

Published on 17 Apr 2020 - 17:11

491

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Why is the blow-up of 9 points an elliptic surface?

Published on 21 Apr 2020 - 19:46

144

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Very simple characterisation of $(-1)$-curves

Published on 21 Apr 2020 - 23:07

198

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Intersection of pullback divisor and exceptional divisor

Published on 07 May 2020 - 17:21

665

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$P^2$ blow up nine points

Published on 10 May 2020 - 20:21

554

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Interpretation and Implications of the Abundance Conjecture

Published on 15 May 2020 - 11:14

254

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Hartshorne's proof of Castelnuovo's theorem

Published on 28 May 2020 - 22:36

76

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Intuition for strong $n$-complements in birational algebraic geometry.

Published on 30 May 2020 - 23:09

80

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How to write $x= \sqrt{n^2+2}$ as a continued fraction and prove that x is irrational?

Published on 31 May 2020 - 15:39

723

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Why the exceptional divisor of blowup of $\{x^2+yt=0\}$ has multiplicity one (but not two)?

Published on 20 Jun 2020 - 19:31

195

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general questions about algebraic surfaces and Castelnuovo's contraction theorem

Published on 25 Jun 2020 - 8:15

List Question

Concerning $\mathbb{C}(s_1,s_2,s_3,y)=\mathbb{C}(x,y)$, where $s_1,s_2,s_3$ are symmetric

Blow up the elliptic singularity $x^2+y^3+z^6=0$

$\mathbb{C}(s_1,s_2,k)=\mathbb{C}(x,y)$, where $s_1,s_2$ are symmetric and $k$ is skew-symmetric

Sections of the exceptional divisor of a blowup

The image of the point at infinity under birational equivalence from an elliptic curve

Why is the blow-up of 9 points an elliptic surface?

Very simple characterisation of $(-1)$-curves

Intersection of pullback divisor and exceptional divisor

$P^2$ blow up nine points

Interpretation and Implications of the Abundance Conjecture

Hartshorne's proof of Castelnuovo's theorem

Intuition for strong $n$-complements in birational algebraic geometry.

How to write $x= \sqrt{n^2+2}$ as a continued fraction and prove that x is irrational?

Why the exceptional divisor of blowup of $\{x^2+yt=0\}$ has multiplicity one (but not two)?

general questions about algebraic surfaces and Castelnuovo's contraction theorem

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