Algebraic maps constant on isomorphism classes of unpolarized abelian varieties are constant
Number Theory
2021-05-26 v2 Algebraic Geometry
Abstract
We show that if a rational map is constant on each isomorphism class of unpolarized abelian varieties of a given dimension, then it is a constant map. Our results are motivated by and shed light on a proposed construction of a cryptographic protocol for multiparty non-interactive key exchange.
Keywords
Cite
@article{arxiv.1912.07081,
title = {Algebraic maps constant on isomorphism classes of unpolarized abelian varieties are constant},
author = {Eric Rains and Karl Rubin and Travis Scholl and Shahed Sharif and Alice Silverberg},
journal= {arXiv preprint arXiv:1912.07081},
year = {2021}
}
Comments
16 pages, to appear in Algebra and Number Theory