Concept
Complex multiplication
Related publications (15)
Exploring SIDH-Based Signature Parameters
Tako Boris Fouotsa, Laurane Chloé Angélina Marco, Andrea Basso
Isogeny-based cryptography is an instance of post-quantum cryptography whose fundamental problem consists of finding an isogeny between two (isogenous) elliptic curves E and E′. This problem is closely related to that of computing the endomorphism ring of ...
Springer2024The Lang-Trotter conjecture for products of non-CM elliptic curves
Inspired by the work of Lang-Trotter on the densities of primes with fixed Frobenius traces for elliptic curves defined over Q and by the subsequent generalization of Cojocaru-Davis-Silverberg-Stange to generic abelian varieties, we study the analogous que ...
SPRINGER2022A local discontinuous Galerkin gradient discretization method for linear and quasilinear elliptic equations
Assyr Abdulle, Giacomo Rosilho De Souza
A local weighted discontinuous Galerkin gradient discretization method for solving elliptic equations is introduced. The local scheme is based on a coarse grid and successively improves the solution solving a sequence of local elliptic problems in high gra ...
EDP SCIENCES S A2019Bilinear forms with Kloosterman sums and applications
We prove nontrivial bounds for general bilinear forms in hyper-Kloosterman sums when the sizes of both variables may be below the range controlled by Fourier-analytic methods (Polya-Vinogradov range). We then derive applications to the second moment of cus ...
Annal Mathematics2017Modular Functions and Special Cycles
In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are a higher dimensional generalization of modular curves and their important feature is that they have natural families of algebraic cycles in all codimesions ...
Rheinische Friedrich-Wilhelms-Universität Bonn2013