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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)

 

  目:Quantitative results for holomorphic curves interecting general divisors in

        projective varieties

 

  间:05.21(星期四),10:0011:00 a.m.

 

  点:数学院南楼N913

 

  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 : CX. It gives a considerable extension of my previous result about the  defect relation for Zariski-dense holomorphic mapping f : CX intersecting D=D1+···+Dq, where Dj are assumed to be linearly equivalent. New defect relations for holomorphic mapping f : CX intersecting divisors D1,..., Dq, where D1,..., Dq are not necessarily linearly equivalent, are also derived from the Main result.

 

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