New invariants for complex manifolds and isolated singularities

  • Rong Du*
  • , Hing Sun Luk
  • , Stephen Yau
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this paper, we introduce some new invariants for complex manifolds. These invariants measure in some sense how far the complex manifolds are away from having global complex coordinates. For applications, we introduce two new invariants f(1,1) and g(1,1) for isolated surface singularities. We show that f(1,1) = g(1,1) = 1 for rational double points and cyclic quotient singularities.

Original languageEnglish
Pages (from-to)991-1021
Number of pages31
JournalCommunications in Analysis and Geometry
Volume19
Issue number5
DOIs
StatePublished - Dec 2011

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