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Shimura reciprocity law

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#algebraic-number-theory #elliptic-curves #modular-forms #galois-representations #complex-multiplication
222
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$\mathbb{Q}(\sqrt{p^*})$ is contained in the ring class field of conductor $p$

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#field-theory #galois-theory #algebraic-number-theory #class-field-theory #complex-multiplication
644
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Definition of "CM-field"

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#field-theory #complex-multiplication
40
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Equivalent definitions of CM abelian varieties

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#abelian-varieties #complex-multiplication
165
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CM points on Shimura curves

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#algebraic-geometry #definition #algebraic-number-theory #arithmetic-geometry #complex-multiplication
221
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Fast Multiplication of matrix and vector

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#matrices #orthogonal-matrices #fast-fourier-transform #complex-multiplication
125
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Reductions of elliptic curves over number fields (implementation on Sage)

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#elliptic-curves #sagemath #complex-multiplication
106
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Lang's proof concerning ray class fields of imaginary quadratic number fields

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#number-theory #algebraic-number-theory #elliptic-curves #class-field-theory #complex-multiplication
125
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Field over which CM endomorphism is defined

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#number-theory #algebraic-geometry #elliptic-curves #complex-multiplication
127
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Explicit description of maps $\phi_\alpha\in End(E)$ for a CM elliptic curve

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#algebraic-geometry #elliptic-curves #complex-multiplication
43
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Simplifying following integral related to Fourier transforms

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#integration #fourier-transform #complex-multiplication
63
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Complex multiplication over p adic fields

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#field-theory #elliptic-curves #complex-multiplication
83
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Mistaken in Silverman's AAEC Theorem 4.3 ? Where am I mistaken?

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#algebraic-geometry #algebraic-number-theory #elliptic-curves #arithmetic-geometry #complex-multiplication
115
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Is $K(E_{tors})/K$ always infinite degree extension

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#field-theory #galois-theory #elliptic-curves #complex-multiplication
19
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How convert Division to its multiplication equivalent

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#complex-multiplication

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