Infinitesimal structure of the pluricanonical double ramification locus
Algebraic Geometry
2021-09-24 v3
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.
Keywords
Cite
@article{arxiv.1909.11981,
title = {Infinitesimal structure of the pluricanonical double ramification locus},
author = {David Holmes and Johannes Schmitt},
journal= {arXiv preprint arXiv:1909.11981},
year = {2021}
}
Comments
60 pages. v2: added reference to [arXiv:2004.08676]. v3: This is the Author Accepted Manuscript (published in Compositio, open access). Comments still very welcome