arXiv subjects

M. A. Tsfasman

Publications and source records attributed to M. A. Tsfasman.

2 recordsLinked to original sources

arXiv2007

Brauer-Siegel theorem for elliptic surfaces

We consider higher-dimensional analogues of the classical Brauer-Siegel theorem focusing on the case of abelian varieties over global function fields. We prove such an analogue in the case of constant families of elliptic curves and abelian varieties.

math.AG↗

arXiv2000

Asymptotically Good Quantum Codes

Using algebraic geometry codes we give a polynomial construction of quantum codes with asymptotically non-zero rate and relative distance.

quant-ph↗