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math.AG2008★ 6 cited
A remark on a conjecture of Hain and Looijenga
Carel Faber
After recalling the various tautological algebras of the moduli space of curves and some of its partial compactifications and stating several well-known results and conjectures con…
math.AG2008★ 3 cited
Siegel modular forms of genus 2 and level 2: cohomological computations and conjectures
Jonas Bergström, Carel Faber, Gerard van der Geer
We study the cohomology of certain local systems on moduli spaces of principally polarized abelian surfaces with a level 2 structure. The trace of Frobenius on the alternating sum…