j-invariant and Borcherds Phi-function

Abstract

We give a formula that relates the difference of the j-invariants with the Borcherds Phi-function, an automorphic form on the period domain for Enriques surfaces characterizing the discriminant divisor.

arXiv commentSection 8 added, references updated and added

References in corpus (2)

• A fixed point formula of Lefschetz type in Arakelov geometry II: a residue formula
• The lambda invariants at CM points

Cited by in corpus (1)

• BPS Algebras in 2D String Theory