Estimating Siegel Modular Forms of Genus 2 Using Jacobi Forms
نویسنده
چکیده
We give a new elementary proof of Igusa's theorem on the structure of Siegel modular forms of genus 2. The key point of the proof is the estimation of the dimension of Jacobi forms appearing in the FourierJacobi development of Siegel modular forms. This proves not only Igusa's theorem, but also gives the canonical lifting from Jacobi forms to Siegel modular forms of genus 2.
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تاریخ انتشار 1999