List questions from blowup

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How to show that $\mathbb{P}^2$ blowing up at a point is not isomorphic to $\mathbb{P}^1*\mathbb{P}^1$?

Published on 30 Oct 2016 - 20:58

46

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Gloabal and Local data on Singular Varieties

Published on 25 Mar 2026 - 10:15

2.2k

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Blow-up of the affine cone

Published on 02 Jan 2017 - 20:57

1.7k

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References with many examples of blow-ups and blow-downs in complex geometry

Published on 08 Jan 2017 - 17:01

482

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Isomorphisms of blow-up

Published on 13 Jan 2017 - 0:33

653

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Intuitively, why does there need to be an exceptional divisor?

Published on 25 Mar 2026 - 10:15

458

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Self-Intersection under Blow up

Published on 18 Feb 2017 - 2:47

149

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Blow Up of an arbitrary subvariety on $\Bbb P^3$.

Published on 25 Mar 2026 - 5:07

87

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Resolution of $D_n$ singularity and exceptional divisor

Published on 17 Feb 2023 - 9:29

176

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irreducible components of exceptional divisors

Published on 20 Feb 2023 - 18:08

61

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Unicity in Hartshorne Corollary II.7.15

Published on 23 Feb 2023 - 14:42

133

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Orientability and blow-ups

Published on 14 Mar 2023 - 8:57

204

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Sheaf cohomology of blowup - reference request

Published on 29 Mar 2023 - 23:06

227

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Understand the Proj construction and blow-up

Published on 09 Apr 2023 - 17:14

445

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Understanding blowups at nonreduced loci

Published on 11 Apr 2023 - 18:53

List Question

How to show that $\mathbb{P}^2$ blowing up at a point is not isomorphic to $\mathbb{P}^1*\mathbb{P}^1$?

Gloabal and Local data on Singular Varieties

Blow-up of the affine cone

References with many examples of blow-ups and blow-downs in complex geometry

Isomorphisms of blow-up

Intuitively, why does there need to be an exceptional divisor?

Self-Intersection under Blow up

Blow Up of an arbitrary subvariety on $\Bbb P^3$.

Resolution of $D_n$ singularity and exceptional divisor

irreducible components of exceptional divisors

Unicity in Hartshorne Corollary II.7.15

Orientability and blow-ups

Sheaf cohomology of blowup - reference request

Understand the Proj construction and blow-up

Understanding blowups at nonreduced loci

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