Question

The Fubini-Study metric $ \omega_{ \mathrm{FS} } $ on the projective space $ \mathbb{P}^1 $

score 421 · Answer 1 · 2026-05-10 16:34:13

421

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The Fubini-Study metric $ \omega_{ \mathrm{FS} } $ on the projective space $ \mathbb{P}^1 $

Published on 10 May 2026 - 16:34

score 155 · Answer 2 · 2026-04-16 04:08:16

155

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How do we know that the only polynomials $f$ satisfying $f(\lambda x_0,\ldots,\lambda x_n) = f( x_0,\ldots,x_n) $ are the constant polynomials?

Published on 16 Apr 2026 - 4:08

score 788 · Answer 3 · 2026-04-09 00:49:20

788

Views

Induced homomorphism between fundamental groups

Published on 09 Apr 2026 - 0:49

score 289 · Answer 4 · 2026-05-11 06:32:04

289

Views

Projective classification of quadric from affine classification

Published on 11 May 2026 - 6:32

score 166 · Answer 5 · 2026-04-12 05:34:23

166

Views

Is the dehomogenisation of smooth homogeneous polynomial smooth?

Published on 12 Apr 2026 - 5:34

score 249 · Answer 6 · 2026-04-19 13:26:41

249

Views

Closed oriented even dimensional manifold with only three non-zero Betti numbers.

Published on 19 Apr 2026 - 13:26

score 94 · Answer 7 · 2026-05-10 11:52:24

94

Views

$\mathbb{T}^4/\mathbb{Z}_2$, $\mathbb{T}^2/\mathbb{Z}_2$, and $\mathbb{CP}^1$

Published on 10 May 2026 - 11:52

score 380 · Answer 8 · 2026-04-15 01:07:22

380

Views

A vector field on the projective plane with one critical point, a sink

Published on 15 Apr 2026 - 1:07

score 953 · Answer 9 · 2026-04-16 08:10:33

953

Views

Nonsingular projective curve model corresponding to $y^2 = x^4+1$

Published on 16 Apr 2026 - 8:10

score 1k · Answer 10 · 2026-04-12 11:09:30

1k

Views

Show the real projective plane is an n-dimensional topological manifold

Published on 12 Apr 2026 - 11:09

score 4.1k · Answer 11 · 2026-05-10 19:09:47

4.1k

Views

How to introduce a CW structure on RP^n?

Published on 10 May 2026 - 19:09

score 87 · Answer 12 · 2026-05-10 13:51:24

87

Views

From root and weight lattices of SU(N) to $\theta$-functions as sections of a line bundle and $CP$-space

Published on 10 May 2026 - 13:51

score 249 · Answer 13 · 2026-04-11 05:02:18

249

Views

Polynomial Forms on Dual Projective Spaces

Published on 11 Apr 2026 - 5:02

score 239 · Answer 14 · 2026-04-10 18:55:46

239

Views

Definition of sphere without using a metric

Published on 10 Apr 2026 - 18:55

score 79 · Answer 15 · 2026-05-10 19:10:27

79

Views

Compute the degree of a particular morphism

Published on 10 May 2026 - 19:10

List Question

The Fubini-Study metric $ \omega_{ \mathrm{FS} } $ on the projective space $ \mathbb{P}^1 $

How do we know that the only polynomials $f$ satisfying $f(\lambda x_0,\ldots,\lambda x_n) = f( x_0,\ldots,x_n) $ are the constant polynomials?

Induced homomorphism between fundamental groups

Projective classification of quadric from affine classification

Is the dehomogenisation of smooth homogeneous polynomial smooth?

Closed oriented even dimensional manifold with only three non-zero Betti numbers.

$\mathbb{T}^4/\mathbb{Z}_2$, $\mathbb{T}^2/\mathbb{Z}_2$, and $\mathbb{CP}^1$

A vector field on the projective plane with one critical point, a sink

Nonsingular projective curve model corresponding to $y^2 = x^4+1$

Show the real projective plane is an n-dimensional topological manifold

How to introduce a CW structure on RP^n?

From root and weight lattices of SU(N) to $\theta$-functions as sections of a line bundle and $CP$-space

Polynomial Forms on Dual Projective Spaces

Definition of sphere without using a metric

Compute the degree of a particular morphism

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