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On visualization of the linearity problem for mapping class groups of surfaces
visualization linearity problem mapping class groups surfaces
2012/3/1
We derive two types of linearity conditions for mapping class groups of orientable surfaces; one for once-punctured surface, and the other for closed surface, respectively. For the once-punctured case...
A modification of the method of characteristics: a new class of multidimensional partially integrable nonlinear systems
modification of the method of characteristics new class of multidimensional partially integrable nonlinear systems
2010/12/28
We represent an algorithm reducing a big class of systems of (M + 1)-dimensional scalar nonlinear partial differential equations (PDEs) to the systems ofM-dimensional first order PDEs. Thus, we integr...
Brauer-Manin pairing, class field theory and motivic homology
Brauer group abelian fundamental group Wiesend’s ideal class group
2010/12/9
For a smooth proper variety over a p-adic field, the Brauer group and abelian fundamental group are related to the higher Chow groups by the Brauer-Manin pairing and the class field theory. We general...