Infinitesimal structure of the pluricanonical double ramification locus

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.

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

References in corpus (7)

• The moduli space of multi-scale differentials
• Logarithmic compactification of the Abel-Jacobi section
• The stability space of compactified universal Jacobians
• Différentielles à singularités prescrites
• Extending the Double Ramification Cycle using Jacobians
• Extending the double ramification cycle by resolving the Abel-Jacobi map
• The resolution of the universal Abel map via tropical geometry and applications

Cited by in corpus (3)

• admcycles -- a Sage package for calculations in the tautological ring of the moduli space of stable curves
• The moduli space of multi-scale differentials
• Pixton's formula and Abel-Jacobi theory on the Picard stack