中科院数学与系统科学研究院

数学研究所

  中科院华罗庚数学重点实验室 

多复变与复几何学术年活动

Some Topics in Several Complex Variables

报告人：Prof. Min Ru (Department of Mathematics, University of Houston)

题  目：Quantitative results for holomorphic curves interecting general divisors in

        projective varieties

时  间：05.21（星期四）,10:00—11:00 a.m.

地  点：数学院南楼N913室

摘  要：In this talk, we introduce, for an effective Cartier divisor D on a normal projective variety X, the notion of its Nevanlinna constant, denoted by Neva(D). We then prove a defect relation for any Zariski-dense holomorphic mapping f : C→X. It gives a considerable extension of my previous result about the  defect relation for Zariski-dense holomorphic mapping f : C→X intersecting D=D₁+···+D_q, where D_j are assumed to be linearly equivalent. New defect relations for holomorphic mapping f : C→X intersecting divisors D₁,..., D_q, where D₁,..., D_q are not necessarily linearly equivalent, are also derived from the Main result.