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Algebraic maps constant
on isomorphism classes of unpolarized abelian varieties are
constant
Eric Rains, Karl Rubin, Travis Scholl, Shahed Sharif and Alice Silverberg |
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Vol. 15 (2021), No. 3, 711–727
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Abstract |
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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 shed light on a question raised by Boneh et al. (J. Math. Cryptol. 14:1 (2020), 5–14) concerning a proposal for multiparty noninteractive key exchange. |
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Keywords
abelian varieties, polarizations
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Mathematical Subject Classification 2010
Primary: 14K10
Secondary: 11G10, 11G15
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Milestones
Received: 16 December 2019
Revised: 10 July 2020
Accepted: 17 October 2020
Published: 20 May 2021
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Authors |
| Eric Rains | |
| Department of Mathematics California Institute of Technology Pasadena, CA United States |
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| Karl Rubin | |
| Department of Mathematics University of California Irvine, CA United States |
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| Travis Scholl | |
| Department of Mathematics University of California Irvine, CA United States |
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| Shahed Sharif | |
| Department of Mathematics California State University San Marcos San Marcos, CA United States |
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| Alice Silverberg | |
| Department of Mathematics University of California Irvine, CA United States |
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