Quasi-pullback of Borcherds products

Abstract

Quasi-pullback of Borcherds products is an operation of renormalized restriction. It produces a meromorphic modular form on a lower dimensional symmetric domain which is again a Borcherds product. We give an explicit formula for the weakly holomorphic modular form of Weil representation type whose Borcherds lift is the quasi-pullback of the given Borcherds product.

to appear in Bull. London Math. Soc

References in corpus (3)

• Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections
• Reflective modular forms in algebraic geometry
• 24 faces of the Borcherds modular form Phi_{12}

Cited by in corpus (4)

• Remarks on the theta decomposition of vector-valued Jacobi forms
• Twisted component sums of vector-valued modular forms
• Theta block conjecture for Siegel paramodular forms
• The rings of Hilbert modular forms for $\mathbb{Q}(\sqrt{29})$ and $\mathbb{Q}(\sqrt{37})$