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arXiv · 1912.07081

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

Eric Rains·Karl Rubin·Travis Scholl·Shahed Sharif·Alice Silverberg
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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.

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Eric Rains, Karl Rubin, Travis Scholl, Shahed Sharif, Alice Silverberg. 2020-10-20. Algebraic maps constant on isomorphism classes of unpolarized abelian varieties are constant. https://doi.org/10.2140/ant.2021.15.711

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