• Corpus ID: 249191544

Regularized Integrals on Elliptic Curves and Holomorphic Anomaly Equations

@inproceedings{Li2022RegularizedIO,
  title={Regularized Integrals on Elliptic Curves and Holomorphic Anomaly Equations},
  author={Si Li and Jie Zhou},
  year={2022}
}
We derive residue formulas for the regularized integrals (introduced in [LZ21]) on configuration spaces of elliptic curves. Based on these formulas, we prove that the regularized integrals satisfy holomorphic anomaly equations, providing a mathematical formulation of the so-called contact term singularities. We also discuss residue formulas for the ordered A -cycle integrals and establish their relations with those for the regularized integrals. 

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