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- W3124347965 abstract "We show that various loci of stable curves of sufficiently large genus admitting degree $d$ covers of positive genus curves define non-tautological algebraic cycles on $overline{mathcal{M}}_{g,N}$, assuming the non-vanishing of the $d$-th Fourier coefficient of a certain modular form. Our results build on those of Graber-Pandharipande and van Zelm for degree 2 covers of elliptic curves; the main new ingredient is a method to intersect the cycles in question with boundary strata, as developed recently by Schmitt-van Zelm and the author." @default.
- W3124347965 created "2021-02-01" @default.
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- W3124347965 date "2021-01-26" @default.
- W3124347965 modified "2023-09-25" @default.
- W3124347965 title "Non-tautological Hurwitz cycles" @default.
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- W3124347965 doi "https://doi.org/10.48550/arxiv.2101.11050" @default.
- W3124347965 hasPublicationYear "2021" @default.
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