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Corpus ID: 209376929

Algebraic maps constant on isomorphism classes of unpolarized abelian varieties are constant

@article{Rains2019AlgebraicMC,
title={Algebraic maps constant on isomorphism classes of unpolarized abelian varieties are constant},
author={E. Rains and K. Rubin and T. Scholl and Shahed Sharif and A. Silverberg},
journal={arXiv: Number Theory},
year={2019}
}

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.