Corpus ID: 202889254

Infinitesimal structure of the pluricanonical double ramification locus

@article{Holmes2019InfinitesimalSO,
  title={Infinitesimal structure of the pluricanonical double ramification locus},
  author={David Holmes and Johannes Schmitt},
  journal={arXiv: Algebraic Geometry},
  year={2019}
}
  • David Holmes, Johannes Schmitt
  • Published 2019
  • Mathematics
  • arXiv: Algebraic Geometry
  • 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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