Metric Rigidity Theorems On Hermitian Locally Symmetric Manifolds
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Metric Rigidity Theorems on Hermitian Locally Symmetric Manifolds
This monograph studies the problem of characterizing canonical metrics on Hermitian locally symmetric manifolds X of non-compact/compact types in terms of curvature conditions. The proofs of these metric rigidity theorems are applied to the study of holomorphic mappings between manifolds X of the same type. Moreover, a dual version of the generalized Frankel Conjecture on characterizing compact Khler manifolds are also formulated.
Compactifications of Symmetric and Locally Symmetric Spaces
Author: Armand Borel
language: en
Publisher: Springer Science & Business Media
Release Date: 2006-07-25
Introduces uniform constructions of most of the known compactifications of symmetric and locally symmetric spaces, with emphasis on their geometric and topological structures Relatively self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to analysis, number theory, algebraic geometry and algebraic topology
Local and Global Methods in Algebraic Geometry
Author: Nero Budur
language: en
Publisher: American Mathematical Soc.
Release Date: 2018-07-26
This volume contains the proceedings of the conference Local and Global Methods in Algebraic Geometry, held from May 12–15, 2016, at the University of Illinois at Chicago, in honor of Lawrence Ein's 60th birthday. The articles cover a broad range of topics in algebraic geometry and related fields, including birational geometry and moduli theory, analytic and positive characteristic methods, geometry of surfaces, singularity theory, hyper-Kähler geometry, rational points, and rational curves.