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The Berkovich Line over Z This text is devoted to the study of the Berkovich line over the ring of integers of a number field. It is a geometric object which naturally contains complex analytic lines (or their quotient by conjugation), associated to the infinite places, and clas…
This book investigates, roughly speaking, the variation of the properties of the fibers of a map between analytic spaces in the sense of Berkovich. First of all, we study flatness in this setting; the naive definition of this notion is not reasonable, we explain why and give ano…
"This book investigates, roughly speaking, the variation of the properties of the fibers of a map between analytic spaces in the sense of Berkovich. First of all, we study flatness in this setting; the naive definition of this notion is not reasonable, we explain why and give an…
Recent progress on operator theory and approximation in spaces of analytic functions: Conference on completeness problems, Carleson mea…
by Conference on Completeness Problems, Carleson Measures, and Spaces of Analytic Functions, Djursholm)
fromContemporary mathematics - American Mathematical Society (P…
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Type: Book
The paper is devoted to geometry of subanalytic sets. The main result of this paper is the following: Given a subanalytic set E, the set of points at which E is not semianalytic is a subanalytic set. The proof is based on classical methods of analytic geometry and some technique…
This book contains a wealth of material concerning two very active and interconnected directions of current research at the interface of dynamics, number theory and geometry. Examples of the dynamics considered are the action of subgroups of SL (n, R) on the space of unit volume…
Topological invariants of quasi-ordinary singularities: This paper deals with topological invariants of quasi-ordinary singularities on hypersurfaces. Embedded topological classification of quasi-ordinary singularities: The author generalizes the known embedded topological clas…