Question

Why is the projection of a vector V onto a span W, independent of the orthogonal basis of W.

score 945 · Answer 1 · 2026-03-26 16:10:13

945

Views

Why is the projection of a vector V onto a span W, independent of the orthogonal basis of W.

Published on 26 Mar 2026 - 16:10

score 123 · Answer 2 · 2014-12-15 22:56:28

123

Views

Complex projective space and its dual are homeomorphic?

Published on 15 Dec 2014 - 22:56

score 3.5k · Answer 3 · 2014-12-16 17:44:55

3.5k

Views

Does there exist a regular map $\mathbb{A}^1\to\mathbb{P}^1$ which is surjective?

Published on 16 Dec 2014 - 17:44

score 305 · Answer 4 · 2014-12-22 15:12:11

305

Views

zeros of a certain vector field in $\mathbb{C}P^{n}$

Published on 22 Dec 2014 - 15:12

score 882 · Answer 5 · 2014-12-23 19:10:43

882

Views

Vector Field in a complex projective space

Published on 23 Dec 2014 - 19:10

score 114 · Answer 6 · 2014-12-26 21:08:49

114

Views

What is the domain of definition of $S_1/S_0$ on $\mathbb{P}^2$?

Published on 26 Dec 2014 - 21:08

score 110 · Answer 7 · 2014-12-27 23:42:34

110

Views

Questions about the space of rays with initial point the origin endowed with the quotient topology.

Published on 27 Dec 2014 - 23:42

score 90 · Answer 8 · 2026-03-26 15:17:17

90

Views

Why use the affine plane $\mathbb A^2$ (rather than $\mathbb R^2$) in writing $\mathbb{RP}^2=\mathbb A^2\sqcup\mathbb{RP}^1$?

Published on 26 Mar 2026 - 15:17

score 153 · Answer 9 · 2026-03-27 06:09:54

153

Views

Why the projective plane is sometimes drawn like this?

Published on 27 Mar 2026 - 6:09

score 17 · Answer 10 · 2026-03-16 07:20:49

17

Views

Show that on local charts, a function $f : \mathbb{P}^n \rightarrow L_d$ is defined by polynomials.

Published on 16 Mar 2026 - 7:20

score 541 · Answer 11 · 2019-10-07 12:05:57

541

Views

Charts on projective space

Published on 07 Oct 2019 - 12:05

score 571 · Answer 12 · 2019-10-09 04:33:06

571

Views

Image of the Veronese is defined by $X_I X_J=X_k X_L=0$

Published on 09 Oct 2019 - 4:33

score 137 · Answer 13 · 2026-03-23 21:16:12

137

Views

Explicit isomorphism $\pi_{n+1}(\mathbb{RP}^n) \cong \pi_1(\mathbb{RP}^{n-1})$

Published on 23 Mar 2026 - 21:16

score 56 · Answer 14 · 2019-10-10 14:03:07

56

Views

How can I find the number of points of those three elliptic curves?

Published on 10 Oct 2019 - 14:03

score 283 · Answer 15 · 2026-03-25 17:36:35

283

Views

Finding nonzero global sections of a line bundle

Published on 25 Mar 2026 - 17:36

List Question

Why is the projection of a vector V onto a span W, independent of the orthogonal basis of W.

Complex projective space and its dual are homeomorphic?

Does there exist a regular map $\mathbb{A}^1\to\mathbb{P}^1$ which is surjective?

zeros of a certain vector field in $\mathbb{C}P^{n}$

Vector Field in a complex projective space

What is the domain of definition of $S_1/S_0$ on $\mathbb{P}^2$?

Questions about the space of rays with initial point the origin endowed with the quotient topology.

Why use the affine plane $\mathbb A^2$ (rather than $\mathbb R^2$) in writing $\mathbb{RP}^2=\mathbb A^2\sqcup\mathbb{RP}^1$?

Why the projective plane is sometimes drawn like this?

Show that on local charts, a function $f : \mathbb{P}^n \rightarrow L_d$ is defined by polynomials.

Charts on projective space

Image of the Veronese is defined by $X_I X_J=X_k X_L=0$

Explicit isomorphism $\pi_{n+1}(\mathbb{RP}^n) \cong \pi_1(\mathbb{RP}^{n-1})$

How can I find the number of points of those three elliptic curves?

Finding nonzero global sections of a line bundle

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