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- W2962820105 abstract "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 $$kappa $$ and $$psi $$ classes of moduli spaces of pointed smooth curves along with the class $$eta = mathcal O(-1)$$ of the Hodge bundle. We show that if there is no pole of order k, then the tautological ring is generated by $$eta $$ only, and otherwise it is generated by the $$psi $$ classes corresponding to the poles of order k." @default.
- W2962820105 created "2019-07-30" @default.
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- W2962820105 date "2018-04-13" @default.
- W2962820105 modified "2023-10-16" @default.
- W2962820105 title "Tautological ring of strata of differentials" @default.
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- W2962820105 doi "https://doi.org/10.1007/s00229-018-1030-3" @default.
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