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arxiv: 0902.2447 · v2 · submitted 2009-02-14 · 🧮 math.AG

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Tautological pairings on moduli spaces of curves

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keywords curvesmodulitautologicalanalogscompactificationsconjecturedegreediscuss
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We discuss analogs of Faber's conjecture for two nested sequences of partial compactifications of the moduli space of smooth curves. We show that their tautological rings are one-dimensional in top degree but do not satisfy Poincare duality.

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