An expository introduction to intersection theory on the moduli space of curves, covering the tautological ring and methods to determine generation of the Chow ring by tautological classes.
Canning,The tautological ring of Mg,n is rarely Gorenstein, to appear in Geometry and Topology
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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.
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An introduction to the intersection theory of the moduli space of curves
An expository introduction to intersection theory on the moduli space of curves, covering the tautological ring and methods to determine generation of the Chow ring by tautological classes.
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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.