English

Reconstructing general plane quartics from their inflection lines

Algebraic Geometry 2018-04-23 v2

Abstract

Let CC be a general plane quartic and let Fl(C){\rm Fl}(C) denote the configuration of inflection lines of CC. We show that if DD is any plane quartic with the same configuration of inflection lines Fl(C){\rm Fl}(C), then the quartics CC and DD coincide.

Cite

@article{arxiv.1711.05776,
  title  = {Reconstructing general plane quartics from their inflection lines},
  author = {Marco Pacini and Damiano Testa},
  journal= {arXiv preprint arXiv:1711.05776},
  year   = {2018}
}

Comments

21 pages, to appear in Transactions of the American Mathematical Society

R2 v1 2026-06-22T22:47:22.353Z