Weekly Activities

Non-integrated defect relation, Uniqueness, and Dependence Problems for Meromorphic Mappings From Complete K\''ahler Manifolds into Projective Spaces
Speaker: Nguyen Thi Nhung

Time: 9h00, Wednesday, October 27, 2017
Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: Let $M$ be a complete K\''ahler Manifold, whose universal covering is biholomorphic to a ball $B(R_0) \subset \mathbb C^m$, where $0 < R_0\leq \infty$. We establish a truncated non-integrated defect relation for meromorphic mappings from $M$ into $\mathbb P^n(\mathbb C)$ intersecting hypersurfaces in subgeneral position. We also study uniqueness problems for meromorphic mappings from $M$ into $\mathbb P^n(\mathbb C)$ sharing hyperplanes in general position under a general condition that the intersections of inverse images of any $k+1$ hyperplanes are of codimension at least two. In addition, We also investigate algebraic dependences of three meromorphic mappings from $M$ into $\mathbb P^n(\mathbb C)$ sharing hyperplanes in general position.
This is a joint work with S.D. Quang, L.N. Quynh and P.D. Thoan.

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