This paper addresses the question of retrieving the triple (X ,P, E) from the algebraic geometry code C = CL(X ,P, E), where X is an algebraic curve over the finite field Fq, P is an n-tuple of Fq-rational points on X and E is a divisor on X . If deg(E) ≥ 2g + 1 where g is the genus of X , then there is an embedding of X onto Y in the projective space of the linear series of the divisor E. More...

We present a scenario for efficient magnetization of very young galaxies about 0.5 Gigayears after the Big-Bang by a cosmic ray-driven dynamo. These objects experience a phase of strong star formation during this first 10 years. We transfer the knowledge of the connection between star formation and the production rate of cosmic rays by supernova remnants to such high redshift objects. Since the...

Photon splitting in a very strong magnetic field is analyzed for energy ω < 2m. The amplitude obtained on the base of operator-diagram technique is used. It is shown that in a magnetic field much higher than critical one the splitting amplitude is independent on the field. Our calculation is in a good agreement with previous results of Adler and in a strong contradiction with recent paper of Me...