Jun-Muk Hwang 氏(韓国高等研究所(KIAS)教授)

内容:
Arnold multiplicity is a local invariant of a holomorphic function defined by the square-integrability of fractional powers of the function. In one complex variable, it agrees with the ordinary multiplicity. For holomorphic functions of several complex variables, Arnold multiplicity is a more subtle invariant which has connections with many problems in various areas of mathematics. Arnold multiplicity can be defined also for holomorphic sections of line bundles on complex manifolds. We will discuss relations between this local invariant of holomorphic sections and the global property of the line bundle.