Tautological Ring of Strata of Differentials
نویسنده
چکیده
Strata of k-differentials on smooth curves parameterize sections of the k-th power of the canonical bundle with prescribed orders of zeros and poles. Define the tautological ring of the projectivized strata using the κ and ψ classes of moduli spaces of pointed smooth curves along with the class η = O(−1) of the Hodge bundle. We show that if there is no pole of order k, then the tautological ring is generated by η only, and otherwise it is generated by the ψ classes corresponding to the poles of order k.
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