Moduli spaces of Riemann surfaces of genus two with level structures. I

Lee, Ronnie; Weintraub, Steven H.

doi:10.1090/S0002-9947-1988-0965750-6

Moduli spaces of Riemann surfaces of genus two with level structures. I
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by Ronnie Lee and Steven H. Weintraub PDF

Trans. Amer. Math. Soc. 310 (1988), 217-237 Request permission

Abstract:

The cohomology of modular varieties defined by congruence subgroups of ${\operatorname {Sp} _4}({\mathbf {Z}})$ whose levels lie between $2$ and $4$ is studied. Using a counting argument and the techniques of zeta functions, the authors completely determine the cohomology of a particular variety of this type.

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