11. Hyperelliptic curves also appear composing entire connected components of certain strata of the moduli space of Abelian differentials.12. He is the creator of hyperelliptic curve cryptography and the independent co-creator of elliptic curve cryptography. 13. Many curves, for example hyperelliptic curves, may be presented abstractly, as ramified covers of the projective line. 14. Meanwhile, a curve of degree 2 " g " + 2 is termed a real hyperelliptic curve. 15. All curves of genus 2 are hyperelliptic , but for genus e " 3 the generic curve is not hyperelliptic. 16. All curves of genus 2 are hyperelliptic, but for genus e " 3 the generic curve is not hyperelliptic . 17. Considering various attacks on DLP, it is possible to list the features of hyperelliptic curves that should be avoided. 18. For hyperelliptic curves, for example, we may have a function F with a double pole at P only. 19. These varieties are subgroups of the divisor class group on a low genus hyperelliptic curve defined over a finite field. 20. From the graph of C it is clear that this does not need to hold for an arbitrary hyperelliptic curve.
