List questions from arithmetic-geometry

Published on 31 Aug 2023 - 22:17

59

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Connected components of a Shimura variety

Published on 04 Sep 2023 - 9:19

98

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Tamagawa number of elliptic curve of LMFDB

Published on 11 Sep 2023 - 3:52

73

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Is rank of $E_p:y^2=x^3+px$($p$ is a prime number) still open?

Published on 11 Sep 2023 - 4:08

78

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Why $Sha(E_n/\mathbb{Q})[2] = 0 \implies Sha(E_n/\mathbb{Q})[2^\infty] = 0$ holds?

Published on 12 Sep 2023 - 11:17

63

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Quasi periodic entire function

Published on 16 Mar 2026 - 20:47

89

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Difference between $E(\overline{K})$ and $E$ for elliptic curve $E/K$

Published on 15 Sep 2023 - 3:20

54

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Is it difficult to determine the upper bound of the rank of the quadratic twist of a given elliptic curve?

Published on 16 Sep 2023 - 2:34

83

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The equivariant BSD conjecture (and the $\rho$-isotypical component)

Published on 25 Mar 2026 - 12:53

67

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Is there an elliptic curve with a bounded rank for all of its quadratic twists?

Published on 20 Sep 2023 - 4:21

71

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Statement of Golfeld's conjecture

Published on 20 Sep 2023 - 4:40

56

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Showing that the kernel of reduction map is isomorphic to group associated to formal group

Published on 27 Sep 2023 - 6:03

114

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Looking for a counter-example: a degree-one endomorphism of a projective variety which is not an automorphism

Published on 27 Sep 2023 - 11:21

54

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Resources for Abelian surfaces

Published on 29 Sep 2023 - 18:03

87

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Let $E:y^2=x(x-a)(x-b)(a,b\in \Bbb{Q})$ be an elliptic curve. What is $\#E_d(\Bbb{Q})_{tor}$?

Published on 25 Mar 2026 - 14:34

List Question

The relations between two definitions of Hodge bundles

Connected components of a Shimura variety

Tamagawa number of elliptic curve of LMFDB

Is rank of $E_p:y^2=x^3+px$($p$ is a prime number) still open?

Why $Sha(E_n/\mathbb{Q})[2] = 0 \implies Sha(E_n/\mathbb{Q})[2^\infty] = 0$ holds?

Quasi periodic entire function

Difference between $E(\overline{K})$ and $E$ for elliptic curve $E/K$

Is it difficult to determine the upper bound of the rank of the quadratic twist of a given elliptic curve?

The equivariant BSD conjecture (and the $\rho$-isotypical component)

Is there an elliptic curve with a bounded rank for all of its quadratic twists?

Statement of Golfeld's conjecture

Showing that the kernel of reduction map is isomorphic to group associated to formal group

Looking for a counter-example: a degree-one endomorphism of a projective variety which is not an automorphism

Resources for Abelian surfaces

Let $E:y^2=x(x-a)(x-b)(a,b\in \Bbb{Q})$ be an elliptic curve. What is $\#E_d(\Bbb{Q})_{tor}$?

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