Extension theorems, non-vanishing and the existence of good minimal models

• 成果类型: Article
• 署名作者: Demailly, Jean-Pierre; Hacon, Christopher D.; Paun, Mihai
• 署名单位: Communaute Universite Grenoble Alpes; Universite Grenoble Alpes (UGA); Utah System of Higher Education; University of Utah; Universite de Lorraine
• 刊物名称: ACTA MATHEMATICA
• ISSN/ISSBN: 0001-5962
• DOI: 10.1007/s11511-013-0094-x
• 发表日期: 2013
• 页码: 203-259
• 关键词: abundance theorem; pluricanonical systems; Invariance; VARIETIES; plurigenera; METRICS

摘要

We prove an extension theorem for effective purely log-terminal pairs (X, S + B) of non-negative Kodaira dimension . The main new ingredient is a refinement of the Ohsawa-Takegoshi L (2) extension theorem involving singular Hermitian metrics.