Question

When is $\phi^* \pi_* \mathcal G$ isomorphic to ${pr_2}_* (id_X \times_S \phi)^* \mathcal G$?

score 52 · Answer 1 · 2018-04-20 13:55:41

52

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When is $\phi^* \pi_* \mathcal G$ isomorphic to ${pr_2}_* (id_X \times_S \phi)^* \mathcal G$?

Published on 20 Apr 2018 - 13:55

score 83 · Answer 2 · 2026-03-23 02:19:42

83

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A question about a definition of the Hilbert scheme $ \mathcal{H}_P ( \mathbb{P}^n ) $.

Published on 23 Mar 2026 - 2:19

score 48 · Answer 3 · 2026-03-26 20:38:05

48

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Exceptional Curves provided by Dominant Morphism

Published on 26 Mar 2026 - 20:38

score 177 · Answer 4 · 2018-04-20 18:43:42

177

Views

How can I show, using the Hilbert Basis Theorem, that $C^{n}$ is a Noetherian space?

Published on 20 Apr 2018 - 18:43

score 214 · Answer 5 · 2026-03-23 00:04:56

214

Views

Why is : $ \mathrm{dim} \ ( S_X )_d = \begin{pmatrix} n+d \\ n \end{pmatrix} - \begin{pmatrix} n+d-s \\ n \end{pmatrix} $?

Published on 23 Mar 2026 - 0:04

score 403 · Answer 6 · 2026-03-25 03:00:36

403

Views

There Exist Exactly Two Nonisomorphic Affine Conic Plane Curves

Published on 25 Mar 2026 - 3:00

score 235 · Answer 7 · 2018-04-21 01:52:40

235

Views

If $V$ is a $k$-variety of dimension $1$, any proper closed irreducible subset of $V$ is a single point.

Published on 21 Apr 2018 - 1:52

score 102 · Answer 8 · 2018-04-21 07:43:27

102

Views

Does forgetful functor $U:\mathbf{Sch}\to \mathbf{Top}$ preserves fibre products?

Published on 21 Apr 2018 - 7:43

score 65 · Answer 9 · 2026-03-24 20:38:06

65

Views

Checking the projective closure of a particular variety

Published on 24 Mar 2026 - 20:38

score 532 · Answer 10 · 2018-04-21 13:14:20

532

Views

Proving $\int_0^r{(r^m-x^m)^{1/m}dx}=\frac{\Gamma\left(\frac{1}{m}+1\right)\Gamma\left(\frac{1}{m}+1\right)}{\Gamma\left(\frac{2}{m}+1\right)}r^2$

Published on 21 Apr 2018 - 13:14

score 378 · Answer 11 · 2026-03-25 12:14:56

378

Views

Is the Zariski Topology of Proj S the same as the subspace topology of Spec S?

Published on 25 Mar 2026 - 12:14

score 58 · Answer 12 · 2018-04-21 17:52:15

58

Views

Maximals ideals and Zariski Topology

Published on 21 Apr 2018 - 17:52

score 532 · Answer 13 · 2026-03-27 02:27:19

532

Views

Is it possible to blow-up in codimension one?

Published on 27 Mar 2026 - 2:27

score 37 · Answer 14 · 2018-04-22 07:49:01

37

Views

For a codimension $>1$ subvariety, the projection from a general point is birational.

Published on 22 Apr 2018 - 7:49

score 26 · Answer 15 · 2026-03-25 11:04:31

26

Views

Connection between fixed points of $(x,y) \mapsto (p,q) \in k[x,y]^2$ and its corresponding map $ (a,b) \mapsto (p(a,b),q(a,b)) : k^2 \to k^2$?

Published on 25 Mar 2026 - 11:04

List Question

When is $\phi^* \pi_* \mathcal G$ isomorphic to ${pr_2}_* (id_X \times_S \phi)^* \mathcal G$?

A question about a definition of the Hilbert scheme $ \mathcal{H}_P ( \mathbb{P}^n ) $.

Exceptional Curves provided by Dominant Morphism

How can I show, using the Hilbert Basis Theorem, that $C^{n}$ is a Noetherian space?

Why is : $ \mathrm{dim} \ ( S_X )_d = \begin{pmatrix} n+d \\ n \end{pmatrix} - \begin{pmatrix} n+d-s \\ n \end{pmatrix} $?

There Exist Exactly Two Nonisomorphic Affine Conic Plane Curves

If $V$ is a $k$-variety of dimension $1$, any proper closed irreducible subset of $V$ is a single point.

Does forgetful functor $U:\mathbf{Sch}\to \mathbf{Top}$ preserves fibre products?

Checking the projective closure of a particular variety

Proving $\int_0^r{(r^m-x^m)^{1/m}dx}=\frac{\Gamma\left(\frac{1}{m}+1\right)\Gamma\left(\frac{1}{m}+1\right)}{\Gamma\left(\frac{2}{m}+1\right)}r^2$

Is the Zariski Topology of Proj S the same as the subspace topology of Spec S?

Maximals ideals and Zariski Topology

Is it possible to blow-up in codimension one?

For a codimension $>1$ subvariety, the projection from a general point is birational.

Connection between fixed points of $(x,y) \mapsto (p,q) \in k[x,y]^2$ and its corresponding map $ (a,b) \mapsto (p(a,b),q(a,b)) : k^2 \to k^2$?

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