2023/12/01 by Ingmar Metzler, Riccardo Zuffetti, Metzler, Ingmar +1 · 1 citation
Mathematics · #11F03 #11F30 (Secondary) #11G18 #14G35 (Primary) 11F27 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2312.00572
openalex publication_date 2023/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let L be an even indefinite lattice. We show that if L splits off a hyperbolic plane and a scaled hyperbolic plane, then the Kudla-Millson lift of genus 1 associated to L is injective. Our result includes as special cases all previously known injectivity results on the whole space of elliptic cusp forms available in the literature. In particular, we also consider the Funke-Millson twist of the lift. Further, we provide geometric applications on locally symmetric spaces of orthogonal type.