Question

Why are $xy=0$ and $x^2-x=0$ not isomorphic?

score 380 · Answer 1 · 2014-11-02 04:15:06

380

Views

Why are $xy=0$ and $x^2-x=0$ not isomorphic?

Published on 02 Nov 2014 - 4:15

score 2.3k · Answer 2 · 2014-11-02 12:25:56

2.3k

Views

how to obtain transformation matrix $A$ in $y = Ax + b$ notation?

Published on 02 Nov 2014 - 12:25

score 76 · Answer 3 · 2014-11-02 23:03:30

76

Views

If $n\geq 2$, why is $k[\mathbb{A}^n\setminus\{p\}]=k[\mathbb{A}^n]$?

Published on 02 Nov 2014 - 23:03

score 162 · Answer 4 · 2014-11-04 05:48:30

162

Views

Why is $f(X)$ open or closed if $f:X\to\mathbb{A}^1(k)$ is regular?

Published on 04 Nov 2014 - 5:48

score 132 · Answer 5 · 2014-11-07 07:21:15

Why is $\text{Mor}_{\mathrm{reg}}(*,W)\to \text{Hom}_{k-\mathrm{alg}}(k[W],k[*])$ not surjective when $W=\mathbb{A}^2\setminus\{(0,0)\}$.

score 112 · Answer 6 · 2014-11-08 06:59:38

112

Views

What are the prerequisites to understand Affine Invariant Fourier Descriptors?

Published on 08 Nov 2014 - 6:59

score 63 · Answer 7 · 2014-11-09 21:19:54

63

Views

If we delete two points $x,y$ from $\mathbb{A}^1$, can we without loss of generality assume $x=0, y=1$?

Published on 09 Nov 2014 - 21:19

score 2.3k · Answer 8 · 2014-11-10 10:20:45

2.3k

Views

A function is convex and concave, show that it has the form $f(x)=ax+b$

Published on 10 Nov 2014 - 10:20

score 73 · Answer 9 · 2014-11-12 05:33:22

73

Views

Are the quasi-affine subsets of $\mathbb{A}^1_F$ necessarily open or closed?

Published on 12 Nov 2014 - 5:33

score 172 · Answer 10 · 2014-11-27 00:32:47

172

Views

Domain of definition of $(1-y)/x$ on $x^2+y^2=1$?

Published on 27 Nov 2014 - 0:32

score 252 · Answer 11 · 2014-12-02 19:49:14

252

Views

The affine line with two points removed

Published on 02 Dec 2014 - 19:49

score 1.5k · Answer 12 · 2014-12-06 17:04:41

1.5k

Views

fixed points of an affine transformation is unique iff $1 \notin SP(\vec{f} )$

Published on 06 Dec 2014 - 17:04

score 359 · Answer 13 · 2026-03-25 11:03:43

359

Views

Is the $n$-sphere $x_1^2+\cdots+x_n^2-1=0$ a rational variety in $\mathbb{A}^n$?

Published on 25 Mar 2026 - 11:03

score 218 · Answer 14 · 2026-03-25 12:21:16

218

Views

Is the cone over Grassmannian manifold $Gr_2(\mathbb{C}^n)$ an open set of a determinantal variety?

Published on 25 Mar 2026 - 12:21

score 1.1k · Answer 15 · 2014-12-10 18:18:18

1.1k

Views

Dimension of the intersection of affine subspaces

Published on 10 Dec 2014 - 18:18

List Question

Why are $xy=0$ and $x^2-x=0$ not isomorphic?

how to obtain transformation matrix $A$ in $y = Ax + b$ notation?

If $n\geq 2$, why is $k[\mathbb{A}^n\setminus\{p\}]=k[\mathbb{A}^n]$?

Why is $f(X)$ open or closed if $f:X\to\mathbb{A}^1(k)$ is regular?

Why is $\text{Mor}_{\mathrm{reg}}(,W)\to \text{Hom}_{k-\mathrm{alg}}(k[W],k[])$ not surjective when $W=\mathbb{A}^2\setminus\{(0,0)\}$.

What are the prerequisites to understand Affine Invariant Fourier Descriptors?

If we delete two points $x,y$ from $\mathbb{A}^1$, can we without loss of generality assume $x=0, y=1$?

A function is convex and concave, show that it has the form $f(x)=ax+b$

Are the quasi-affine subsets of $\mathbb{A}^1_F$ necessarily open or closed?

Domain of definition of $(1-y)/x$ on $x^2+y^2=1$?

The affine line with two points removed

fixed points of an affine transformation is unique iff $1 \notin SP(\vec{f} )$

Is the $n$-sphere $x_1^2+\cdots+x_n^2-1=0$ a rational variety in $\mathbb{A}^n$?

Is the cone over Grassmannian manifold $Gr_2(\mathbb{C}^n)$ an open set of a determinantal variety?

Dimension of the intersection of affine subspaces

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