List questions from projective-space

Published on 04 May 2018 - 15:52

194

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Proving that $\mathbb{P}^{n}(\mathbb{C})$ is homeomorphic to $S^{2n+1}/S^{1}$

Published on 23 Mar 2026 - 8:42

430

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Veronese map property

Published on 06 May 2018 - 13:27

20

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Determine projective planes in $\mathbb{RP}^4$

Published on 08 May 2018 - 13:41

62

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Finding a complementary linear subspace to a variety of correct dimension in $\mathbb{P}^n$

Published on 11 May 2018 - 21:00

587

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$\mathbb P^n\times \mathbb P^m\not\cong \mathbb P^{m+n}$

Published on 13 May 2018 - 12:38

500

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Determine points with same coordinates in two projective references

Published on 14 May 2018 - 10:32

215

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Formal Definition of Algebraic Variety

Published on 25 Mar 2026 - 6:03

150

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Defn. of weighted projective space in Harris: Algebraic Geometry

Published on 15 May 2018 - 19:38

85

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The orbit of endomorphisms on a projective space

Published on 25 Mar 2026 - 10:55

39

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Projective space prolongation of a rationnal map

Published on 25 Mar 2026 - 11:01

211

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If $f\colon S^n \longrightarrow S^m$ continuous, $m\geq n$.

Published on 23 May 2018 - 15:04

2.2k

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Proving that a transformation is an isometry and find the projectivity which reperesents

Published on 23 May 2018 - 21:07

106

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A projectivity $\tau: \mathbb{CP^1} \to \mathbb{CP^1}$ such that $\tau(P_i)=Q_i$

Published on 24 May 2018 - 8:01

42

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A projectivity $\tau: \mathbb{P^2} \to \mathbb{P^2}$ s. t. fixes the point $P=(-1,1)$ and has $r:x-y-1=0$ as invariant line.

Published on 25 May 2018 - 14:22

List Question

Determine equations of line in projective space

Proving that $\mathbb{P}^{n}(\mathbb{C})$ is homeomorphic to $S^{2n+1}/S^{1}$

Veronese map property

Determine projective planes in $\mathbb{RP}^4$

Finding a complementary linear subspace to a variety of correct dimension in $\mathbb{P}^n$

$\mathbb P^n\times \mathbb P^m\not\cong \mathbb P^{m+n}$

Determine points with same coordinates in two projective references

Formal Definition of Algebraic Variety

Defn. of weighted projective space in Harris: Algebraic Geometry

The orbit of endomorphisms on a projective space

Projective space prolongation of a rationnal map

If $f\colon S^n \longrightarrow S^m$ continuous, $m\geq n$.

Proving that a transformation is an isometry and find the projectivity which reperesents

A projectivity $\tau: \mathbb{CP^1} \to \mathbb{CP^1}$ such that $\tau(P_i)=Q_i$

A projectivity $\tau: \mathbb{P^2} \to \mathbb{P^2}$ s. t. fixes the point $P=(-1,1)$ and has $r:x-y-1=0$ as invariant line.

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