English

Invariants of quartic plane curves as automorphic forms

Algebraic Geometry 2007-05-23 v1

Abstract

We identify the algebra of regular functions on the space of quartic polynomials in three complex variables invariant under SL(3,C) with an algebra of meromorphic automorphic forms on the complex 6-ball. We also discuss the underlying geometry.

Keywords

Cite

@article{arxiv.math/0505532,
  title  = {Invariants of quartic plane curves as automorphic forms},
  author = {Eduard Looijenga},
  journal= {arXiv preprint arXiv:math/0505532},
  year   = {2007}
}

Comments

13 pages, to appear in the AMS series Contemp. Math

R2 v1 2026-07-22T17:19:50.973Z