Modular Forms of weight 8 for $Γ_g(1,2)$

Details Modular Forms of weight 8 for $Γ_g(1,2)$ Modular Forms of weight 8 for $Γ_g(1,2)$

2008-11-14

arxiv.org/abs/0811.2259v2

Mathematics

Number Theory

accepted for publication in Math.Ann

Scientific paper

We complete the program indicated by the Ansatz of D'Hoker and Phong in genus ~4 by proving the uniqueness of the restriction to Jacobians of the weight 8 Siegel cusp forms satisfying the Anstaz. We prove $\dim [\Gamma_4(1,2),8]_0=2$ and $\dim [\Gamma_4(1,2),8]=7$. In each genus, we classify the linear relations among the self-dual lattices of rank {16}. We extend the program to genus ~5 by constructing the unique linear combination of theta series that satisfies the Ansatz.

Affiliated with

Also associated with

No associations

Rating

Modular Forms of weight 8 for $Γ_g(1,2)$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Modular Forms of weight 8 for $Γ_g(1,2)$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modular Forms of weight 8 for $Γ_g(1,2)$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-10706