Modular data and regularity of Monge-AmpSre exhaustions and of Kobayashi distance

作者:Patrizio Giorgio*; Spiro Andrea
来源:Mathematische Annalen, 2015, 362(1-2): 425-449.
DOI:10.1007/s00208-014-1124-5

摘要

Regularity properties of intrinsic objects for a large class of Stein Manifolds, namely of Monge-AmpSre exhaustions and Kobayashi distance, is interpreted in terms of modular data. The results lead to a construction of an infinite dimensional family of convex domains with squared Kobayashi distance of prescribed regularity properties. A new sharp refinement of Stoll's characterization of is also given.

  • 出版日期2015-6