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  Infinitesimal structure of the pluricanonical double ramification locus

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

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-CCA2-A Version Permalink: https://hdl.handle.net/21.11116/0000-000D-F8B5-F
Genre: Journal Article

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This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original article is properly cited. Compositio Mathematica is © Foundation Compositio Mathematica.
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 Creators:
Holmes, David, Author
Schmitt, Johannes1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry
 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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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: arXiv: 1909.11981
DOI: 10.1112/S0010437X21007557
 Degree: -

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Title: Compositio Mathematica
  Abbreviation : Compositio Math.
Source Genre: Journal
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Publ. Info: Cambridge University Press
Pages: - Volume / Issue: 157 (10) Sequence Number: - Start / End Page: 2280 - 2337 Identifier: -