• Corpus ID: 119155771

Exploring modular forms and the cohomology of local systems on moduli spaces by counting points

@article{Geer2016ExploringMF,
  title={Exploring modular forms and the cohomology of local systems on moduli spaces by counting points},
  author={Gerard van der Geer},
  journal={arXiv: Algebraic Geometry},
  year={2016}
}
  • G. Geer
  • Published 1 April 2016
  • Mathematics
  • arXiv: Algebraic Geometry
This is a report on a joint project in experimental mathematics with Jonas Bergstr\"om and Carel Faber where we obtain information about modular forms by counting curves over finite fields. 
1 Citations

Siegel modular forms of genus 2 and level 2 (with an appendix by Shigeru Mukai)

We study vector-valued Siegel modular forms of genus 2 on the three level 2 groups Γ[2] ◁ Γ1[2] ◁ Γ0[2] ⊂ Sp(4, ℤ). We give generating functions for the dimension of spaces of vector-valued modular

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