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arXiv · 2206.05079

Unfolding and injectivity of the Kudla-Millson lift of genus 1

Riccardo Zuffetti
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Abstract

We unfold the theta integrals defining the Kudla-Millson lift of genus 1 associated to even lattices of signature (b,2), where b>2. This enables us to compute the Fourier expansion of such defining integrals and prove the injectivity of the Kudla-Millson lift. Although the latter result has been already proved by Bruinier, our new procedure has the advantage of paving the ground for a strategy to prove the injectivity of the lift also for the cases of general signature and of genus greater than 1.

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BibTeXRIS

Riccardo Zuffetti. 2022-06-10. Unfolding and injectivity of the Kudla-Millson lift of genus 1. https://doi.org/10.1007/s00209-024-03479-8

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