The Refined Humbert Invariant for Imprimitive Ternary Forms

2022/11/08 by Kir, Harun · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2211.04396

Abstract

In this paper, we discuss the refined Humbert invariant for abelian product surfaces with complex multiplication. More precisely, we give the classification of quadratic forms which are equivalent to some refined Humber invariant q_(A,θ), where A is isogenous to E× E, where E has complex multiplication, and q_(A,θ) is an imprimitive form. To give this classification, we use and derive some results in the theory of integral ternary and binary quadratic forms.

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• Refined Humbert Invariants in Supersingular Isogeny Degree Analysis

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