WHAT IS a Period Domain?

Abstract

The notion of period domain goes back to the very beginnings of algebraic geometry, to the study of elliptic curves. These are compact Riemann surfaces of genus one, defined as the complex solutions of y = x+ax+b, plus one point at infinity. Such a surface E is a compact torus, and so has a homology basis {δ, γ}, where the intersection number of the two… (More)

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