User Makoto Kato

10 votes

4 answers

6k views

Fubini's theorem without completeness or $\sigma$-finiteness conditions

asked Apr 19, 2012 at 3:15

10 votes

2 answers

2k views

Scheme theoretic interpretations of the Weil's foundations of algebraic geometry

asked Apr 22, 2012 at 3:40

10 votes

1 answer

2k views

Can we prove that the ring of formal power series over a noetherian ring is noetherian without axiom of choice?

asked Jan 13, 2014 at 23:47

7 votes

1 answer

958 views

On elimination of Noetherian conditions in the geometry of schemes

asked May 10, 2012 at 7:37

6 votes

2 answers

378 views

On a minimal algebraic number field which satisfies the principal ideal theorem

asked Nov 25, 2014 at 6:19

5 votes

1 answer

929 views

The biquadratic character of $2$ mod $p$ for a prime of the form $p=4n+1$ [closed]

asked Aug 20, 2013 at 17:30

4 votes

1 answer

611 views

Is the category of quasi-coherent $\mathcal{O}_X$-algebras cocomplete?

asked Aug 20, 2013 at 21:01

4 votes

1 answer

984 views

Can we construct cohomolgy theory on noetherian separated schemes without Axiom of Choice?

asked Apr 17, 2014 at 1:49

4 votes

0 answers

524 views

A proof of a theorem on the different in algebraic number fields

asked May 22, 2012 at 23:26

4 votes

2 answers

2k views

Ideal theoretic proof of the second inequality of global class field theory

asked Apr 26, 2012 at 3:50

3 votes

1 answer

486 views

A finite diagram in an abelian category which may not be locally small

asked Jul 19, 2012 at 5:15

3 votes

0 answers

1k views

Can we prove an open affine subscheme of a noetherian scheme is noetherian without Axiom of Choice?

asked Apr 22, 2014 at 22:35

3 votes

3 answers

563 views

Origin of the theorem on the existence of the smallest field of definition of an affine variety

asked Oct 28, 2012 at 21:00

1 vote

2 answers

263 views

Books on real and/or complex analytic functions on Banach spaces taking values in Banach spaces

asked Oct 25, 2012 at 9:02

1 vote

0 answers

314 views

A text book on the theory of harmonic integrals on complete Kähler manifolds

asked May 23, 2012 at 10:20

1 vote

0 answers

380 views

Topological definition of intersection multiplicities of algebraic varieties

asked May 9, 2012 at 0:45

0 votes

1 answer

278 views

Noetherianess of a finite module over a noethrian ring without Axiom of Choice

asked Feb 26, 2015 at 0:19

0 votes

1 answer

568 views

Non-cohomological proof that a noetherian scheme $X$ is affine if its reduction $X_{red}$ is affine

asked Apr 1, 2014 at 23:26

-1 votes

1 answer

275 views

A characterization of the module function on a locally compact division ring

asked Oct 19, 2013 at 23:53

-2 votes

3 answers

849 views

Books on analytic functions on Banach spaces over a non-Archimedean field

asked Oct 25, 2012 at 9:06

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20 Questions

Fubini's theorem without completeness or $\sigma$-finiteness conditions

Scheme theoretic interpretations of the Weil's foundations of algebraic geometry

Can we prove that the ring of formal power series over a noetherian ring is noetherian without axiom of choice?

On elimination of Noetherian conditions in the geometry of schemes

On a minimal algebraic number field which satisfies the principal ideal theorem

The biquadratic character of $2$ mod $p$ for a prime of the form $p=4n+1$ [closed]

Is the category of quasi-coherent $\mathcal{O}_X$-algebras cocomplete?

Can we construct cohomolgy theory on noetherian separated schemes without Axiom of Choice?

A proof of a theorem on the different in algebraic number fields

Ideal theoretic proof of the second inequality of global class field theory

A finite diagram in an abelian category which may not be locally small

Can we prove an open affine subscheme of a noetherian scheme is noetherian without Axiom of Choice?

Origin of the theorem on the existence of the smallest field of definition of an affine variety

Books on real and/or complex analytic functions on Banach spaces taking values in Banach spaces

A text book on the theory of harmonic integrals on complete Kähler manifolds

Topological definition of intersection multiplicities of algebraic varieties

Noetherianess of a finite module over a noethrian ring without Axiom of Choice

Non-cohomological proof that a noetherian scheme $X$ is affine if its reduction $X_{red}$ is affine

A characterization of the module function on a locally compact division ring

Books on analytic functions on Banach spaces over a non-Archimedean field