Arakelov (in)equalities

Abstract

We discuss several numerical conditions for families of projective varieties or variations of Hodge structures.

Survey, 25 pages 2nd. Version: Part of the last chapter was reformulated and some typos were corrected

References in corpus (4)

• Existence of minimal models for varieties of log general type
• Stability of Hodge bundles and a numerical characterization of Shimura varieties
• Kobayashi geodesics in A_g
• Complex multiplication, Griffiths-Yukawa couplings, and rigidity for families of hypersurfaces