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Flatness in non-Archimedean analytic geometry
Flatness non-Archimedean analytic geometry Algebraic Geometry
2011/9/16
Abstract: This text is devoted to the systematic study of flatness in the context of Berkovich analytic spaces. After having shown through a counter-example that naive flatness in that context is not ...
Injectivity and flatness of semitopological modules
Injectivity and flatness semitopological modules Optimization and Control Analysis of PDEs
2011/8/30
Abstract: The spaces D, S and E' over \mathbb{R}^(n) are known to be flat modules over A=\mathbb{C}[\partial_{1},...,\partial_{n}], whereas their duals D', S' and E are known to be injective modules o...
On the flatness of Riemannian cylinders without conjugate points
flatness of Riemannian cylinders conjugate points
2011/1/17
What are appropriate geometric conditions ensuring that every complete Riemannian 2-cylinder without conjugate points is at?Examples with nonpositive curvature show that one has to assume that the end...