List questions from birational-geometry

Published on 14 Oct 2014 - 20:00

371

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Is log-general type an intrinsic property of a variety

Published on 21 Oct 2014 - 14:40

84

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Anti-canonical divisors of fiberation

Published on 05 Nov 2014 - 2:21

152

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Blow-ups followed by contractions

Published on 17 Nov 2014 - 23:54

562

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The map $f\colon\mathbb{A}^2_k\to\mathbb{A}^2_k$ given by $f(x,y)=(x,xy)$ is birational?

Published on 03 Dec 2014 - 6:00

358

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Is the $n$-sphere $x_1^2+\cdots+x_n^2-1=0$ a rational variety in $\mathbb{A}^n$?

Published on 09 Dec 2014 - 6:17

217

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Is the contraction morphism proper?

Published on 25 Dec 2014 - 18:21

162

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Integral closure of pull-back of an ideal via a birational, finite morphism of rings

Published on 23 Feb 2026 - 6:04

68

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$\mathrm{Supp}(\mathrm{Exc}(f))=\mathrm{Supp}(K_X-f^*K_Y)?$

Published on 18 Oct 2019 - 13:37

115

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Rational map from a projective space

Published on 08 Dec 2019 - 11:13

670

Views

Birational invariant Hodge numbers

Published on 09 Dec 2019 - 20:27

171

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Dualizing sheaf under birational morphism

Published on 13 Dec 2019 - 9:59

33

Views

Some special class of rational curves.

Published on 26 Dec 2019 - 1:40

371

Views

Birationally transforming general curve of genus 1 to Weierstrass form

Published on 27 Dec 2019 - 0:40

405

Views

Birational transformation of $\mathbb{P}^n_k$

Published on 30 Dec 2019 - 15:06

List Question

What is the example of pseudo-effective divisor which is not an effective divisor

Is log-general type an intrinsic property of a variety

Anti-canonical divisors of fiberation

Blow-ups followed by contractions

The map $f\colon\mathbb{A}^2_k\to\mathbb{A}^2_k$ given by $f(x,y)=(x,xy)$ is birational?

Is the $n$-sphere $x_1^2+\cdots+x_n^2-1=0$ a rational variety in $\mathbb{A}^n$?

Is the contraction morphism proper?

Integral closure of pull-back of an ideal via a birational, finite morphism of rings

$\mathrm{Supp}(\mathrm{Exc}(f))=\mathrm{Supp}(K_X-f^*K_Y)?$

Rational map from a projective space

Birational invariant Hodge numbers

Dualizing sheaf under birational morphism

Some special class of rational curves.

Birationally transforming general curve of genus 1 to Weierstrass form

Birational transformation of $\mathbb{P}^n_k$

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