Invariants of quartic plane curves as automorphic forms

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

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.

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