Schertz style class invariants for quartic CM fields
2016
A class invariant is a CM value of a modular function that lies in a certain unram-ified class field. We show that Siegel modular functions over $Q$ for $Γ^0 (N) ⊆ Sp_4 (Z)$yield class invariants under some splitting conditions on N. Small class invariants speed up constructions in explicit class field theory and public-key cryptography. Our results generalise results of Schertz's from elliptic curves to abelian varieties and from classical modular functions to Siegel modular functions.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
28
References
0
Citations
NaN
KQI