English

Reduced invariants from cuspidal maps

Algebraic Geometry 2018-01-25 v1

Abstract

We consider genus 1 enumerative invariants arising from the Smyth-Viscardi moduli space of stable maps from curves with nodes and cusps. We prove that these invariants are equal to the Vakil-Zinger reduced invariants for the quintic threefold, providing a modular interpretation of the latter.

Keywords

Cite

@article{arxiv.1801.07739,
  title  = {Reduced invariants from cuspidal maps},
  author = {Luca Battistella and Francesca Carocci and Cristina Manolache},
  journal= {arXiv preprint arXiv:1801.07739},
  year   = {2018}
}

Comments

52 pages, 3 figures. Comments welcome!

R2 v1 2026-06-22T23:53:33.344Z