Genus 2 Curves with Complex Multiplication

Abstract

While the main goal of this paper is to give a bound on the denominators of Igusa class polynomials of genus 2 curves, our motivation is two-fold: on the one hand we are interested in applications to cryptography via the use of genus 2 curves with a prescribed number of points, and on the other hand, we are interested in construction of class invariants… (More)

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