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. 

References

SHOWING 1-10 OF 13 REFERENCES
Elliptic double affine Hecke algebras
  • 4
  • PDF
Degeneration of Abelian varieties
  • 678
Products of CM elliptic curves
  • 25
  • PDF
Primes of the form x2 + ny2
  • 475
  • PDF
Multiparty Non-Interactive Key Exchange and More From Isogenies on Elliptic Curves
  • 14
  • PDF
Equations Defining Abelian Varieties
  • 244
  • PDF
The moduli spaces of polarized abelian varieties
  • 47
K-Theory and stable algebra
  • 565
  • PDF
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