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RECURSIONS FOR CHARACTERISTIC NUMBERS OF GENUS ONE PLANE CURVES
CHARACTERISTIC PLANE CURVES
2015/7/14
Characteristic numbers of families of maps of nodal curves to P2 are de ned as
intersection of natural divisor classes. (This de nition agrees with the usual de nition for
families of plane curves.)...
For automorphisms of a polynomial ring in two variables over a domain R, we show that local tameness implies global tameness provided that every 2-generated invertible R-module is free. We give many e...
The isentropic Euler system admits some plane wave superpositions
The isentropic Euler system wave superpositions
2010/11/8
A class of differentiable solutions is proved for the isentropic Euler equations in two and three space dimensions. The solutions are explicitly given in terms of solutions to inviscid Burgers equati...
A simple proof of the isoperimetric theorem for the hyperbolic plane
isoperimetric theorem hyperbolic plane
2010/11/30
В этой методической заметке приводятся четкая формулировка и короткое доказа-тельство основного результата работы [A] (см. ниже), а также проясняется его связь с изопериметрической теоремой для плоско...
Dynamical aspects of mean field plane rotators and the Kuramoto model
Synchronization Kuramoto model (ir)reversibility mean field Spin XY model spectral gap inequality
2010/4/8
The Kuramoto model has been introduced in order to describe synchronization phenomena observed in groups of cells, individuals, circuits, etc... We look at the Kuramoto model with white noise forces: ...
Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform
Dirichlet-to-Neumann map via two-plane transform
2010/10/29
We consider the Dirichlet-to-Neumann map associated to the Schr\"odinger equation with a potential in a bounded Lipschitz domain in three or more dimensions. We show that the integral of the potentia...