Unfolding and injectivity of the Kudla-Millson lift of genus 1
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866914791765835776 |
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| author | Zuffetti, Riccardo |
| author_facet | Zuffetti, Riccardo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_05079 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Unfolding and injectivity of the Kudla-Millson lift of genus 1 Zuffetti, Riccardo Number Theory Algebraic Geometry 11F27, 11F37 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. |
| title | Unfolding and injectivity of the Kudla-Millson lift of genus 1 |
| topic | Number Theory Algebraic Geometry 11F27, 11F37 |
| url | https://arxiv.org/abs/2206.05079 |