User red_trumpet

13 votes

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What is a simple definition of the pullback of a section?

answered Dec 28, 2019 at 20:41

8 votes

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Confusion on the definition of a complex structure

answered Sep 27, 2021 at 8:21

6 votes

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Proof of Serre Duality in Hartshorne

answered Jul 4, 2018 at 10:47

6 votes

Subbundle of a pullback is not the pullback of a subbundle

answered Jun 7 at 8:50

5 votes

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Hartshorne Exercise II 3.22 (a) - Dimensions of the Fibres of a morphism

answered Mar 5, 2020 at 9:38

5 votes

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Terminology confusion in complex geometry (hermitian geometry)

answered Apr 5, 2022 at 11:42

5 votes

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what does U \ {v} means?

answered Nov 8, 2022 at 9:31

5 votes

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Strengthening Ax-Grothendieck

answered Mar 6 at 13:45

4 votes

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Omission of locality axiom in some definitions of sheafs

answered Mar 16, 2022 at 13:36

4 votes

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How to use Nullstellensatz to prove Study’s lemma

answered Jan 15, 2021 at 15:01

4 votes

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Some (maybe) basic estimate of expected values involving brownian motion

answered Mar 24, 2021 at 15:58

4 votes

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Considering Long exact sequence of cohomology

answered Jul 1, 2021 at 12:08

4 votes

Elaboration of an example on the independence of the conditions of a subspace of a vector space.

answered Sep 4, 2019 at 6:49

4 votes

Is there any easy proof of Brouwer's fixed point theorem?

answered Aug 25, 2018 at 15:09

4 votes

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Hartshorne Lemma (II.4.5): f(X) is closed iff stable under specialization

answered Nov 21, 2022 at 12:21

4 votes

Product decomposition into semisimple and unipotent parts of a connected, solvable, nilpotent Algebraic group $G$ (A. Borel’s LAG)

answered Jan 27 at 11:00

4 votes

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Geometric genus of projective bundle over a scheme?

answered Aug 15, 2022 at 13:51

4 votes

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Concept question about the local defining function for the irreducible hypersurface $Y$

answered Aug 31, 2022 at 9:43

4 votes

Are the basis of kernel space and the basis of image space independent for full rank linear transformation?

answered Oct 27, 2022 at 14:02

3 votes

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What are some ways to solve $\frac{dx}{dt} = x + 1, x(0) = x_o$

answered Oct 4, 2018 at 18:30

3 votes

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Another missing concept on derivatives

answered Oct 4, 2018 at 20:31

3 votes

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Quotient $\mathbf{F}_3[X]/(X^5+1)$

answered Dec 14, 2018 at 22:09

3 votes

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Primary ideals are those whose quotient has irreducible prime spectrum.

answered Jan 30, 2019 at 13:57

3 votes

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If for ideal I, radical R(I) = I, is I a prime ideal

answered Mar 15, 2020 at 6:01

3 votes

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Dimension of linear system $|C|$ is the genus of $C$?

answered May 11, 2020 at 13:05

3 votes

Multiplicative inverse in polynomials mod p

answered Oct 16, 2019 at 19:34

3 votes

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On the hilbert polynomial of a coherent sheaf over a projective scheme

answered Nov 11, 2019 at 22:25

3 votes

Units in $\mathbb{Z}_{72}$ are also units of $\mathbb{Z}_8$

answered Jan 1, 2020 at 22:43

3 votes

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Tensor Operations on free sheaves. Is sheafification necessary?

answered Sep 9, 2021 at 12:49

3 votes

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$\partial \bar \partial$-lemma for $d$-exact differential form.

answered Jun 17, 2021 at 11:12

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213 Answers

What is a simple definition of the pullback of a section?

Confusion on the definition of a complex structure

Proof of Serre Duality in Hartshorne

Subbundle of a pullback is not the pullback of a subbundle

Hartshorne Exercise II 3.22 (a) - Dimensions of the Fibres of a morphism

Terminology confusion in complex geometry (hermitian geometry)

what does U \ {v} means?

Strengthening Ax-Grothendieck

Omission of locality axiom in some definitions of sheafs

How to use Nullstellensatz to prove Study’s lemma

Some (maybe) basic estimate of expected values involving brownian motion

Considering Long exact sequence of cohomology

Elaboration of an example on the independence of the conditions of a subspace of a vector space.

Is there any easy proof of Brouwer's fixed point theorem?

Hartshorne Lemma (II.4.5): f(X) is closed iff stable under specialization

Product decomposition into semisimple and unipotent parts of a connected, solvable, nilpotent Algebraic group $G$ (A. Borel’s LAG)

Geometric genus of projective bundle over a scheme?

Concept question about the local defining function for the irreducible hypersurface $Y$

Are the basis of kernel space and the basis of image space independent for full rank linear transformation?

What are some ways to solve $\frac{dx}{dt} = x + 1, x(0) = x_o$

Another missing concept on derivatives

Quotient $\mathbf{F}_3[X]/(X^5+1)$

Primary ideals are those whose quotient has irreducible prime spectrum.

If for ideal I, radical R(I) = I, is I a prime ideal

Dimension of linear system $|C|$ is the genus of $C$?

Multiplicative inverse in polynomials mod p

On the hilbert polynomial of a coherent sheaf over a projective scheme

Units in $\mathbb{Z}_{72}$ are also units of $\mathbb{Z}_8$

Tensor Operations on free sheaves. Is sheafification necessary?

$\partial \bar \partial$-lemma for $d$-exact differential form.