Invariants of quartic plane curves as automorphic forms
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- May 2005
- DOI:
- 10.48550/arXiv.math/0505532
- arXiv:
- arXiv:math/0505532
- Bibcode:
- 2005math......5532L
- Keywords:
-
- Algebraic Geometry;
- 11D25;
- 32N15
- E-Print:
- 13 pages, to appear in the AMS series Contemp. Math