Infinitesimal structure of the pluricanonical double ramification locus

Holmes, David; Schmitt, Johannes

doi:10.1112/S0010437X21007557

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Infinitesimal structure of the pluricanonical double ramification locus

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Schmitt, Johannes
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1112/S0010437X21007557
(Publisher version)

https://doi.org/10.48550/arXiv.1909.11981
(Preprint)

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Holmes-Schmitt_Infinitesimal structure of the pluricanonical double ramification locus_2021.pdf
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Citation

Holmes, D., & Schmitt, J. (2021). Infinitesimal structure of the pluricanonical double ramification locus. Compositio Mathematica, 157(10), 2280-2337. doi:10.1112/S0010437X21007557.

Cite as: https://hdl.handle.net/21.11116/0000-0009-CCA2-A

Abstract

We prove that a formula for the `pluricanonical' double ramification cycle
proposed by Janda, Pandharipande, Pixton, Zvonkine, and the second-named author
is in fact the class of a cycle constructed geometrically by the first-named
author. Our proof proceeds by a detailed explicit analysis of the deformation
theory of the double ramification cycle, both to first and to higher order.