Results 31 to 40 of about 264 (44)
CM relations in fibered powers of elliptic families
, 2017 Let $E_\lambda$ be the Legendre family of elliptic curves. Given $n$ linearly independent points $P_1,\dots , P_n \in E_\lambda\left(\overline{\mathbb{Q}(\lambda)}\right)$ we prove that there are at most finitely many complex numbers $\lambda_0$ such ...
André +10 more
core +1 more source
Complex Hyperbolic Surfaces of Abelian Type [PDF]
, 2004 2000 Mathematics Subject Classification: 11G15, 11G18, 14H52, 14J25, 32L07.We call a complex (quasiprojective) surface of hyperbolic type, iff – after removing finitely many points and/or curves – the universal cover is the complex two-dimensional unit ...
Holzapfel, R.
core
Construction of class fields over cyclotomic fields
, 2015 Let $\ell$ and $p$ be odd primes. For a positive integer $\mu$ let $k_\mu$ be the ray class field of $k=\mathbb{Q}(e^{2\pi i/\ell})$ modulo $2p^\mu$. We present certain class fields $K_\mu$ of $k$ such that $k_\mu\leq K_\mu\leq k_{\mu+1}$, and find the ...
Koo, Ja Kyung, Yoon, Dong Sung
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Ray class fields generated by torsion points of certain elliptic curves [PDF]
, 2010 We first normalize the derivative Weierstrass $\wp'$-function appearing in Weierstrass equations which give rise to analytic parametrizations of elliptic curves by the Dedekind $\eta$-function.
Dong +3 more
core
On $L$-function of noncommutative tori
, 2018 We introduce an analog of the $L$-function for noncommutative tori. It is proved that such a function coincides with the Hasse-Weil $L$-function of an elliptic curve with complex multiplication.
Nikolaev, Igor
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Class invariants for quartic CM fields [PDF]
, 2004 One can define class invariants for a quartic primitive CM field K as special values of certain Siegel (or Hilbert) modular functions at CM points corresponding to K.
Goren, Eyal Z., Lauter, Kristin E.
core +3 more sources
The complexity of class polynomial computation via floating point approximations [PDF]
, 2008 We analyse the complexity of computing class polynomials, that are an important ingredient for CM constructions of elliptic curves, via complex floating point approximations of their roots.
Enge, Andreas
core +3 more sources
An effective "Theorem of André” for CM-points on a plane curve [PDF]
, 2017 It is a well known result of Y. André (a basic special case of the André-Oort conjecture) that an irreducible algebraic plane curve containing infinitely many points whose coordinates are CM-invariants is either a horizontal or vertical line, or a ...
BILU, YURI +2 more
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Pairings on Jacobians of Hyperelliptic Curves [PDF]
, 2007 Consider the jacobian of a hyperelliptic genus two curve defined over a finite field. Under certain restrictions on the endomorphism ring of the jacobian we give an explicit description all non-degenerate, bilinear, anti-symmetric and Galois-invariant ...
Ravnshoj, Christian Robenhagen
core +1 more source
Duality of Anderson $t$-motives having $N\ne0$
, 2019 This paper extends the main result of the paper "Duality of Anderson $t$-motives", that the lattice of the dual of a t-motive $M$ is the dual lattice of $M$, to the case when the nilpotent operator $N$ of $M$ is non-zero.Comment: 21 pages; minor ...
Grishkov, A., Logachev, D.
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