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math.AG2009
Tautological pairings on moduli spaces of curves
Renzo Cavalieri, Stephanie Yang
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-d…
math.AG2004
Linear systems in with base points of bounded multiplicity
Stephanie Yang
We present a proof of the Harbourne-Hirschowitz conjecture for linear systems with base points of multiplicity seven or less. This proof uses a well-known degeneration of the proje…