Results 61 to 70 of about 500,615 (284)
Complex multiplication, rationality and mirror symmetry for abelian varieties
, 2006 We show that complex multiplication on abelian varieties is equivalent to the existence of a constant rational K\"ahler metric. We give a sufficient condition for a mirror of an abelian variety of CM-type to be of CM-type as well.
Deligne +18 more
core +2 more sources
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
FEBS Letters, EarlyView.We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
Detecting complex multiplication [PDF]
Computational Aspects of Algebraic Curves, 2005 We give an efficient, deterministic algorithm to decide if two abelian varieties over a number field are isogenous. From this, we derive an algorithm to compute the endomorphism ring of an elliptic curve over a number field.
openaire +2 more sources
FEBS Letters, EarlyView.The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
wiley +1 more source
From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curves
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We recall the form factors $f^(j)_{N,N}$ corresponding to the $lambda$-extension $C(N,N; lambda)$ of the two-point diagonal correlation function of the Ising model on the square lattice and their associated linear differential equations which exhibit ...
Salah Boukraa +3 more
doaj
An optical neural chip for implementing complex-valued neural network
Nature Communications, 2021 Most demonstrations of optical neural networks for computing have been so far limited to real-valued frameworks. Here, the authors implement complex-valued operations in an optical neural chip that integrates input preparation, weight multiplication and ...
H. Zhang +17 more
doaj +1 more source
Complex Numbers Related to Semi-Antinorms, Ellipses or Matrix Homogeneous Functionals
Axioms, 2021 We generalize the property of complex numbers to be closely related to Euclidean circles by constructing new classes of complex numbers which in an analogous sense are closely related to semi-antinorm circles, ellipses, or functionals which are ...
Wolf-Dieter Richter
doaj +1 more source
Low Complexity Concurrent Error Detection for Complex Multiplication [PDF]
IEEE Transactions on Computers, 2013 This paper studies the problem of designing a low complexity Concurrent Error Detection (CED) circuit for the complex multiplication function commonly used in Digital Signal Processing circuits. Five novel CED architectures are proposed and their computational complexity, area, and delay evaluated in several circuit implementations.
Pontarelli S +3 more
openaire +3 more sources
Algorithms on Ideal over Complex Multiplication order [PDF]
, 2016 We show in this paper that the Gentry-Szydlo algorithm for cyclotomic orders, previously revisited by Lenstra-Silverberg, can be extended to complex-multiplication (CM) orders, and even to a more general structure.
Kirchner, Paul
core +1 more source
Faltings heights of abelian varieties with complex multiplication
, 2017 Let M be the Shimura variety associated with the group of spinor similitudes of a rational quadratic space over of signature (n,2). We prove a conjecture of Bruinier-Kudla-Yang, relating the arithmetic intersection multiplicities of special divisors and ...
Andreatta, Fabrizio +3 more
core +1 more source