Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 10 of 10 for “"Complex multiplication"”.
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Elliptic curves with complex multiplication and {u039B}-structures
… the relationship between elliptic curves with complex multiplication and Lambda structures. Our main result is to show that the moduli stack of elliptic curves with complex multiplication, and the universal elliptic curve with complex multiplication over it, both admit Lambda structures and …
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Elliptic curves with complex multiplication and {u039B}-structures
… the relationship between elliptic curves with complex multiplication and Lambda structures. Our main result is to show that the moduli stack of elliptic curves with complex multiplication, and the universal elliptic curve with complex multiplication over it, both admit Lambda structures and …
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Orbifold points on Teichmüller curves and Jacobians with complex multiplication
For each integer D >/= 5 with D =/- 0 or 1 mod 4, the Weierstrass curve WD is an algebraic curve and a finite volume hyperbolic orbifold which admits an algebraic and isometric immersion into the moduli space of genus two Riemann surfaces. The Weierstrass curves are the main examples of Teichmüller …
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On the main conjectures of Iwasawa theory for certain elliptic curves with complex multiplication
… in $\mathbb{C}$, and suppose that $E$ has complex multiplication by the ring of integers of $K$. Let us assume the complex $L$-series $L(E/K,s)$ of $E$ over $K$ does not vanish at $s=1$. K. Rubin showed, using Iwasawa theory, that the $p$-part of Birch and Swinnerton-Dyer conjecture holds …
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Average lang-trotter conjecture for 2 elliptic curves
Let E 1 and E 2 be two elliptic curves without complex multiplication over the rationals. For primes p of good reduction, let a p ( E 1 ) and a p ( E 2 ) be the traces of the Frobenius morphism of E 1 and E 2 respectively. By Hasse's theorem, we know that a p ( E i ), i = 1,2, are integers and …
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Plectic arithmetic of Hilbert modular varieties
… and orient ourselves by the main theorem of complex multiplication over the rationals to define the plectic action on CM points. Moreover, we use a description of the set of connected components as a zero-dimensional Shimura variety and then employ class field theoretic techniques to prove …
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Iwasawa theory of p-adic Lie extensions
… of an elliptic curve defined over k without complex multiplication. The strategy consists in considering the Selmer Group or other cohomology groups which 'live' above the p-adic Lie extension as a module over the (non-commutative) group algebra R of G with coefficients in the p-adic …
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Compact Digital Predistortion for Multi-band and Wide-band RF Transmitters
… information. The number of training samples and complex multiplication operations required for coefficients estimation can be reduced by more than ten times without additional calculation resource. Thirdly, based on the proposed theory, this thesis proves that theoretically a DPD system using …
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Um algoritmo de criptografia de chave pública semanticamente seguro baseado em curvas elípticas
Esta dissertação apresenta o desenvolvimento de um novo algoritmo de criptografia de chave pública. Este algoritmo apresenta duas características que o tornam único, e que foram tomadas como guia para a sua concepção. A primeira característica é que ele é semanticamente seguro. Isto significa que …