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arXiv · 1909.11981

Infinitesimal structure of the pluricanonical double ramification locus

David Holmes·Johannes Schmitt
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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.

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David Holmes, Johannes Schmitt. 2019-09-26. Infinitesimal structure of the pluricanonical double ramification locus. https://doi.org/10.1112/s0010437x21007557

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