Question

$\overline{h(X)}$, the closure of $h(X)$ in $Y$ is a variety whose coordinate ring is isomorphic to $A(Y)/\mathrm{rad}(I)$, where $I=\ker(h^*)$

score 59 · Answer 1 · 2026-04-12 05:08:10

59

Views

$\overline{h(X)}$, the closure of $h(X)$ in $Y$ is a variety whose coordinate ring is isomorphic to $A(Y)/\mathrm{rad}(I)$, where $I=\ker(h^*)$

Published on 12 Apr 2026 - 5:08

score 166 · Answer 2 · 2026-04-13 15:30:38

166

Views

Zero-dimensionality implies $\pi$- regularness

Published on 13 Apr 2026 - 15:30

score 112 · Answer 3 · 2026-04-15 06:06:32

112

Views

Nullstellensatz-type result for polynomial rings over infinite fields, which are not algebraically closed?

Published on 15 Apr 2026 - 6:06

score 355 · Answer 4 · 2026-04-14 04:52:34

355

Views

Question about the dimensions of generic fibers $W_{\eta}$ and $X_{\eta}$, where $W$ is a closed subscheme of $X$

Published on 14 Apr 2026 - 4:52

score 897 · Answer 5 · 2026-04-12 04:30:25

897

Views

Does semisimple element of a semisimple complex Lie algebra belong to some Cartan subalgebra?

Published on 12 Apr 2026 - 4:30

score 1.1k · Answer 6 · 2026-04-20 15:51:41

1.1k

Views

Etale iff Completions are Isomorphic

Published on 20 Apr 2026 - 15:51

score 257 · Answer 7 · 2026-04-11 03:22:47

257

Views

The long exact cohomology sequence on compact complex manifolds

Published on 11 Apr 2026 - 3:22

score 68 · Answer 8 · 2026-03-25 06:13:07

68

Views

The multiplicity of the intersection of two curves is the dimension of a certain vector space.

Published on 25 Mar 2026 - 6:13

score 1.3k · Answer 9 · 2026-04-20 05:07:21

1.3k

Views

Macaulay2: How to compute the remainder when dividing a polynomial by a set of polynomials (in some order)?

Published on 20 Apr 2026 - 5:07

score 841 · Answer 10 · 2026-04-12 11:00:12

841

Views

Grothendieck Residue

Published on 12 Apr 2026 - 11:00

score 341 · Answer 11 · 2026-04-15 23:16:50

341

Views

Structure of the total space of vector bundle.

Published on 15 Apr 2026 - 23:16

score 168 · Answer 12 · 2026-04-16 10:52:21

168

Views

Calculate the multiplicity at the origin of the intersection of the curves $X=V(xy^2+x^4)$ and $Y=V(x^2y-x^4)$

Published on 16 Apr 2026 - 10:52

score 146 · Answer 13 · 2026-04-16 09:11:34

146

Views

Is my proof correct? Iwant to show that $\operatorname{Ass}_R(\dfrac{R}{xR})=\operatorname{Ass}_R(\dfrac{R}{x^3R})$

Published on 16 Apr 2026 - 9:11

score 169 · Answer 14 · 2026-04-12 05:49:46

169

Views

Computation of relative Picard Group

Published on 12 Apr 2026 - 5:49

score 529 · Answer 15 · 2026-04-16 00:18:01

529

Views

Exercise 7.3.J in Ravi Vakil's FOAG

Published on 16 Apr 2026 - 0:18

List Question

$\overline{h(X)}$, the closure of $h(X)$ in $Y$ is a variety whose coordinate ring is isomorphic to $A(Y)/\mathrm{rad}(I)$, where $I=\ker(h^*)$

Zero-dimensionality implies $\pi$- regularness

Nullstellensatz-type result for polynomial rings over infinite fields, which are not algebraically closed?

Question about the dimensions of generic fibers $W_{\eta}$ and $X_{\eta}$, where $W$ is a closed subscheme of $X$

Does semisimple element of a semisimple complex Lie algebra belong to some Cartan subalgebra?

Etale iff Completions are Isomorphic

The long exact cohomology sequence on compact complex manifolds

The multiplicity of the intersection of two curves is the dimension of a certain vector space.

Macaulay2: How to compute the remainder when dividing a polynomial by a set of polynomials (in some order)?

Grothendieck Residue

Structure of the total space of vector bundle.

Calculate the multiplicity at the origin of the intersection of the curves $X=V(xy^2+x^4)$ and $Y=V(x^2y-x^4)$

Is my proof correct? Iwant to show that $\operatorname{Ass}_R(\dfrac{R}{xR})=\operatorname{Ass}_R(\dfrac{R}{x^3R})$

Computation of relative Picard Group

Exercise 7.3.J in Ravi Vakil's FOAG

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