All the $\lambda_1$'s on cyclic admissible covers

Renzo Cavalieri; Bryson Owens; Seamus Somerstep

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arXiv · 2112.13892

All the $\lambda_1$'s on cyclic admissible covers

Renzo Cavalieri·Bryson Owens·Seamus Somerstep

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Abstract

We compute the degree of Hurwitz-Hodge classes $\lambda_1^e$ on one dimensional moduli spaces of cyclic admissible covers of the projective line. We also compute the degree of the the first Chern class of the Hodge bundle $\lambda_1$ for all one dimensional moduli spaces. In higher dimension, we express the divisor class $\lambda_1$ as a linear combination of $\psi$ classes and boundary strata.

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BibTeX RIS

Renzo Cavalieri, Bryson Owens, Seamus Somerstep. 2021-12-27. All the $\lambda_1$'s on cyclic admissible covers. https://arxiv.org/abs/2112.13892

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