Ludovic Tagnon

A dual reformulation of the complex sin^2-algorithm: exact identities, descent, and finiteness

We develop the structure theory of the deterministic $\sin^2$-type algorithm for complex cubic fields introduced in the companion paper, addressing the complex-signature case of Karpenkov's Problem 4. The selection rule is shown to be, exactly, the minimization of a conformal module: the hyperbolic cosine of the distan...