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math.AGDec 23, 2008
1
citations (OpenAlex)
authors
  • Eckart Viehweg
arXiv abstractPDF
paper

Arakelov (in)equalities

arXiv:0812.3350

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 (10)

  • Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces
  • On the isotriviality of families of projective manifolds over curves
  • Existence of minimal models for varieties of log general type
  • On the Shafarevich conjecture for surfaces of general type over function fields
  • Arakelov-type inequalities for Hodge bundles
  • Boundedness of families of canonically polarized manifolds: A higher dimensional analogue of Shafarevich's conjecture
  • 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
  • Shimura- and Teichmueller curves
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