Question

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

score 418 · Answer 1 · 2026-03-25 11:02:49

418

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

Published on 25 Mar 2026 - 11:02

score 152 · Answer 2 · 2018-09-18 16:04:41

152

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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 18 Sep 2018 - 16:04

score 785 · Answer 3 · 2018-09-19 09:39:10

785

Views

Induced homomorphism between fundamental groups

Published on 19 Sep 2018 - 9:39

score 286 · Answer 4 · 2026-03-25 18:47:10

286

Views

Projective classification of quadric from affine classification

Published on 25 Mar 2026 - 18:47

score 163 · Answer 5 · 2018-10-04 08:46:10

163

Views

Is the dehomogenisation of smooth homogeneous polynomial smooth?

Published on 04 Oct 2018 - 8:46

score 242 · Answer 6 · 2026-03-22 12:52:04

242

Views

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

Published on 22 Mar 2026 - 12:52

score 85 · Answer 7 · 2026-03-22 21:03:05

85

Views

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

Published on 22 Mar 2026 - 21:03

score 377 · Answer 8 · 2018-10-19 17:19:53

377

Views

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

Published on 19 Oct 2018 - 17:19

score 950 · Answer 9 · 2018-10-21 09:47:12

950

Views

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

Published on 21 Oct 2018 - 9:47

score 1k · Answer 10 · 2018-10-22 05:33:32

1k

Views

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

Published on 22 Oct 2018 - 5:33

score 4.1k · Answer 11 · 2026-03-25 07:42:41

4.1k

Views

How to introduce a CW structure on RP^n?

Published on 25 Mar 2026 - 7:42

score 82 · Answer 12 · 2026-03-25 01:18:42

82

Views

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

Published on 25 Mar 2026 - 1:18

score 246 · Answer 13 · 2018-10-28 02:19:40

246

Views

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Published on 28 Oct 2018 - 2:19

score 236 · Answer 14 · 2018-10-30 09:56:00

236

Views

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Published on 30 Oct 2018 - 9:56

score 75 · Answer 15 · 2026-03-25 04:39:10

75

Views

Compute the degree of a particular morphism

Published on 25 Mar 2026 - 4:39

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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