论文标题
kudla-Millson属的展开和注射率1
Unfolding and injectivity of the Kudla-Millson lift of genus 1
论文作者
论文摘要
我们展开了定义与签名晶格相关的kudla-Millson升起的Theta积分（B，2），其中B> 2。这使我们能够计算这种定义积分的傅立叶扩展，并证明库德拉·米尔森升降机的注入性。尽管Bruinier已经证明了后者的结果，但我们的新程序的优势是为一般签名和大于1的属的策略铺平了策略，以证明升力的注射率。
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.
