HOẠT ĐỘNG TRONG TUẦN

Non-integrated defect relation, Uniqueness, and Dependence Problems for Meromorphic Mappings From Complete K\''ahler Manifolds into Projective Spaces
Người báo cáo: Nguyễn Thị Nhung (Đại học Thăng Long)

Thời gian: 9h, Thứ tư 4/10/2017.
Địa điểm: P6, Nhà A14, Viện Toán học, 18 Hoàng Quốc Việt, Hà Nội
Tóm tắt: Let $M$ be a complete K''ahler Manifold, whose universal covering is biholomorphic to a ball $B(R_0) subset mathbb C^m$, where $0 R_0leq infty$. We establish a truncated non-integrated defect relation for meromorphic mappings from $M$ into $mathbb P^n(mathbb )$ 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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