## STNB2019 (33è any)

### Modular invariants for genus 3 hyperelliptic curves

Elisa Lorenzo

#### Resum

In this talk we will give invariants for genus 3 hyperelliptic curves for which we know a modular expression, that is, we can write them in term of theta constants. Moreover, we will show a combination of them for which we can bound the primes in the denominators for CM curves. These invariants look like the right ones to implement the CM-method for genus 3 hyperelliptic curves.

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