Two-Valued Groups, Kummer Varieties, and Integrable Billiards

@article{Buchstaber2010TwoValuedGK,
  title={Two-Valued Groups, Kummer Varieties, and Integrable Billiards},
  author={V. M. Buchstaber and V. Dragovic},
  journal={Arnold Mathematical Journal},
  year={2010},
  volume={4},
  pages={27-57}
}
  • V. M. Buchstaber, V. Dragovic
  • Published 2010
  • Mathematics
  • Arnold Mathematical Journal
  • A natural and important question of study two-valued groups associated with hyperelliptic Jacobians and their relationship with integrable systems is motivated by seminal examples of relationship between algebraic two-valued groups related to elliptic curves and integrable systems such as elliptic billiards and celebrated Kowalevski top. The present paper is devoted to the case of genus 2, to the investigation of algebraic two-valued group structures on Kummer varieties. One of our approaches… CONTINUE READING
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