Unfolding and injectivity of the KudlaMillson lift of genus 1
Abstract
We unfold the theta integrals defining the KudlaMillson 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 KudlaMillson 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.
 Publication:

arXiv eprints
 Pub Date:
 June 2022
 DOI:
 10.48550/arXiv.2206.05079
 arXiv:
 arXiv:2206.05079
 Bibcode:
 2022arXiv220605079Z
 Keywords:

 Mathematics  Number Theory;
 Mathematics  Algebraic Geometry;
 11F27;
 11F37
 EPrint:
 30 pages