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Where does the terminology "fake/false elliptic curve" come from?

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#terminology #elliptic-curves #arithmetic-geometry #abelian-varieties
46
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A curve and its translate are linearly equivalent in a complex torus?

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#algebraic-geometry #complex-geometry #abelian-varieties
75
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Ribbons of abelian varieties

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#algebraic-geometry #abelian-varieties #deformation-theory
170
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Why is $\mathcal{O}_F \otimes \mathbb{Z}_p$ a Dedekind ring?

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#arithmetic-geometry #dedekind-domain #abelian-varieties
113
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Sum of abelian subvarieties

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#algebraic-geometry #abelian-varieties
108
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Does roots of L-polynomial of curve being roots of unity imply the curve is supersingular?

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#algebraic-curves #curves #roots-of-unity #abelian-varieties
133
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Asking for some exercises to help me understanding abelian varieties better?

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#algebraic-geometry #reference-request #arithmetic-geometry #abelian-varieties
1.2k
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Elliptic curve over algebraically closed field of characteristic $0$ has a non-torsion point

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#number-theory #algebraic-geometry #field-theory #elliptic-curves #abelian-varieties
40
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The induced map $\phi: \mathbb{C}^n \to \mathbb{C}^m$ in the construction of toric varieties

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#algebraic-geometry #abelian-varieties #toric-geometry
938
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Does anyone know of any good sources on the algebraic theory of abelian varieties?

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#algebraic-geometry #reference-request #algebraic-curves #abelian-varieties
53
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Does adjoining a $p$-power divisor to an elliptic curve, where $p\neq 2$ is a prime, always result in a Galois group of order greater than $2$?

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#number-theory #galois-theory #elliptic-curves #abelian-varieties
230
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A Complex Torus is generally simple!

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#algebraic-geometry #complex-geometry #abelian-varieties
977
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Cohomology of structure sheaf of abelian variety

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#algebraic-geometry #schemes #sheaf-cohomology #abelian-varieties
229
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The bilinearity of the Cassels-Tate pairing

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#elliptic-curves #abelian-varieties #galois-cohomology
1k
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Embedding Complex Tori in Projective Space

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#complex-analysis #algebraic-geometry #complex-geometry #abelian-varieties

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