The most important examples of nondegenerate complex tori of index k are the intermediate Jacobians of a compact Kähler manifold M. In this chapter we give their definitions, deduce some of their properties and see how they are related. We omit some of their most important aspects, for example the Abel-Jacobi map, which reflects the geometry of the manifold M, since here we are more interested in the complex tori.
KeywordsAbelian Variety Hermitian Form Hodge Structure Smooth Projective Variety Complex Torus
Unable to display preview. Download preview PDF.