Infinitesimal invariant and Massey products

Abstract

In this work, we study the Griffiths infinitesimal invariant of the curve in the jacobian using secondary cohomology maps. In order to do this, we construct a special differential graded algebra \({\mathcal{A}}\) , quite similar to the Kodaira–Spencer algebra and we define a natural triple Massey product on it. This allows us to give a description of the infinitesimal invariant in terms of Massey products and to study the formality of \({\mathcal{A}}\) .