Logarithmic compactification of the Abel–Jacobi section

@article{Marcus2017LogarithmicCO,
  title={Logarithmic compactification of the Abel–Jacobi section},
  author={Steffen Marcus and Jonathan Wise},
  journal={arXiv: Algebraic Geometry},
  year={2017}
}
Given a smooth curve with weighted marked points, the Abel-Jacboi map produces a line bundle on the curve. This map fails to extend to the full boundary of the moduli space of stable pointed curves. Using logarithmic and tropical geometry, we describe a modular modification of the moduli space of curves over which the Abel-Jacobi map extends. We also describe the attendant deformation theory and virtual fundamental class of this moduli space. This recovers the double ramification cycle, as well… Expand

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EXTENDING THE DOUBLE RAMIFICATION CYCLE BY RESOLVING THE ABEL-JACOBI MAP
  • David Holmes
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