List questions from abelian-varieties

Published on 23 Jan 2017 - 23:47

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Why is the abelian group of points on an elliptic curve over a finite field isomorphic to the product of at most two cyclic groups?

Published on 29 Jan 2017 - 1:06

179

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What kind of manifold is the quotient of $ \mathbb C^n $by a (non-mirror) crystallographic group

Published on 13 Feb 2017 - 12:23

133

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Is a quiver representation a variety?

Published on 25 Mar 2026 - 3:00

249

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On the theorem of the cube and the semicontinuity theorem: intuition for proof of proposition?

Published on 27 Feb 2017 - 21:47

26

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Where can I learn about finding explicit formulas of period integrals?

Published on 23 Mar 2017 - 2:55

156

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When homogeneous coordinate ring of an Abelian variety is Gorenstein?

Published on 25 Mar 2026 - 4:40

251

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tangent space of quotient algebraic group

Published on 06 Apr 2017 - 9:54

57

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Definition of $Λ^*: End(Ω(J))→End(Ω(C))$ from Abel Jacobi map $Λ$?

Published on 29 Jan 2023 - 13:27

136

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Holomorphic $1$ form on hyperelliptic curve

Published on 30 Jan 2023 - 8:45

38

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Definition of 'Abelian variety has CM by $K$'

Published on 25 Mar 2026 - 3:02

69

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Number of rational points of $C:y^5=-x^2+x$ over $ \Bbb{F}_5$

Published on 31 Jan 2023 - 7:30

133

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Can you get a $\mathbb{C}$-basis of $\mathbb{C}^{n}$ from an $\mathbb{R}$-basis by picking one vector out of each of $n$ pairs?

Published on 06 Feb 2023 - 2:06

89

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Definition of degree of Frobenius of abelian variety and its dual

Published on 09 Feb 2023 - 5:24

170

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To prove given elliptic curve is Jacobi variety of given genus $1$ curve

Published on 10 Feb 2023 - 13:43

List Question

Regarding the dual of an abelian variety

Why is the abelian group of points on an elliptic curve over a finite field isomorphic to the product of at most two cyclic groups?

What kind of manifold is the quotient of $ \mathbb C^n $by a (non-mirror) crystallographic group

Is a quiver representation a variety?

On the theorem of the cube and the semicontinuity theorem: intuition for proof of proposition?

Where can I learn about finding explicit formulas of period integrals?

When homogeneous coordinate ring of an Abelian variety is Gorenstein?

tangent space of quotient algebraic group

Definition of $Λ^*: End(Ω(J))→End(Ω(C))$ from Abel Jacobi map $Λ$?

Holomorphic $1$ form on hyperelliptic curve

Definition of 'Abelian variety has CM by $K$'

Number of rational points of $C:y^5=-x^2+x$ over $ \Bbb{F}_5$

Can you get a $\mathbb{C}$-basis of $\mathbb{C}^{n}$ from an $\mathbb{R}$-basis by picking one vector out of each of $n$ pairs?

Definition of degree of Frobenius of abelian variety and its dual

To prove given elliptic curve is Jacobi variety of given genus $1$ curve

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