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Lower boundary hyperplanes of the canonical left cells in the affine Weyl group Wa（An-1）
affine Weyl groups left cells hyperplanes
2011/9/28
Let F be any canonical left cell of the affine Weyl group Wa of type A. We describe the lower boundary hyperplanes for F, which answer two questions of Humphreys.
Abstract: Given a convex set and an interior point close to the boundary, we prove the existence of a supporting hyperplane whose distance to the point is controlled, in a dimensionally quantified way...
Sections hyperplanes à singularités simples et exemples de variations de structure de Hodge
Sections hyperplanes à singularités exemples de variations de structure de Hodge
2011/1/20
We construct smooth complex projective varieties of dimension 3 to 6 with variations of Hodge structure, by generalizing an example of J. Carlson and C. Simpson in dimension 2. Then, we study some of ...
A Uniqueness Theorem for Meromorphic Mappings with Two Families of Hyperplanes
Uniqueness Theorem Meromorphic Mappings Families of Hyperplanes
2010/11/9
In this paper, we extend the uniqueness theorem for meromorphic mappings to the case where the family of hyperplanes depends on the meromorphic mapping and where the meromorphic mappings may be degen...
Simultaneous Bisections of Measures by Orthogonal Hyperplanes
Simultaneous Bisections Orthogonal Hyperplanes
2010/11/15
Given [n/d] finite Borel measures on R^n, d = 1, 2, 4, or 8, it is shown that there exist d mutually orthogonal hyperplanes which bisect each measure, corresponding to the classical algebras R, C, H,...
Separation by Hyperplanes in Finite-Dimensional Vector Spaces over Archimedean Ordered Fields
archimedean field finite-dimensional vector space convex set s-closed separation support convex function epigraph optimization
2009/1/23
Theorems on the separation of convex sets by hyperplanes are among the basic tools of convex analysis and mathematical programming. The main results of the present paper are new (and in a sense best p...