Expository survey of when Chow rings and cohomology rings of moduli spaces of curves are tautological and when their point counts over finite fields are polynomials in q.
Liu,On the Chow rings of the moduli spacesM 5,8 andM 5,9, arXiv:2509.02950 (2025)
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Chow rings, cohomology rings, and point counts of moduli spaces of curves
Expository survey of when Chow rings and cohomology rings of moduli spaces of curves are tautological and when their point counts over finite fields are polynomials in q.