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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 ...
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,...