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- W2963455401 abstract "We connect two notions of tautological ring: one for the moduli space of curves (after Mumford, Faber, etc.), and the other for the Jacobian of a curve (after Beauville, Polishchuk, etc.). The motivic Lefschetz decomposition on the Jacobian side produces relations between tautological classes, leading to results about Faber's Gorenstein conjecture on the curve side. We also relate certain Gorenstein properties on both sides and verify them for small genera. Further, we raise the question whether all tautological relations are motivic, giving a possible explanation why the Gorenstein properties may not hold." @default.
- W2963455401 created "2019-07-30" @default.
- W2963455401 creator A5046538938 @default.
- W2963455401 date "2014-07-08" @default.
- W2963455401 modified "2023-10-15" @default.
- W2963455401 title "Cycles on curves and Jacobians: a tale of two tautological rings" @default.
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- W2963455401 doi "https://doi.org/10.48550/arxiv.1407.2216" @default.
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