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Browsing by Author "Zheglov, Alexander"
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2006-03-28BuchMotivic integration Kurke, Herbert; Martin-Pizarro, A.; Zheglov, Alexander; Zhukov, I.This is a suvey on theory and some applications of motivic integration. Besides basic facts of foundation of motivic integration from algebraic geometry it contains also some explanations from model theory. Some new open ...
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2002-07-10DissertationMultidimensional local skew-fields Zheglov, AlexanderIn der gegebenen Arbeit werden hoeherdimensionale lokale Schiefkoerper, die natuerliche Verallgemeinerung von n-dimensionalen lokalen Koerpern, untersucht. Wir untersuchen nur Schiefkoerper mit kommutativem Restschiefkoerper. ...
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2005-11-04BuchOn some questions related to the Krichever correspondence Osipov, Denis; Zheglov, AlexanderThe article is devoted to some questions of Krichever correspondence for algebraic curves and surfaces. We construct new examples of subspaces of 2-dimensional local field from Krichever correspondence for algebraic surface, ...
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2005-11-03BuchSolvability of the 2 dimensional KP systems Zheglov, AlexanderIn this paper we define a series of modified Parshin's KP-hierarchies for the case of the ring of pseudodifferential operators in 2 variables, which are parametrized by a real positive parameter. All these systems satisfy ...
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2005-11-02BuchTwo dimensional KP systems and their solvability Zheglov, AlexanderIn this paper we introduce new various generalizations of the classical Kadomtsev-Petviashvili hierarchy in the case of operators in several variables. These generalizations are the candidates for systems that should play ...
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2005-11-04BuchWild division algebras over Laurent series fields Zheglov, AlexanderIn previous papers [HoEis], [Ho2000] we found neat Picard modular surfaces with abelian minimal model and, conversely, a divisor criterion on abelian surfaces A for such a situation. For the corresponding ball lattices ...