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Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations
nonlinear elliptic PDEs uniqueness of solutions quasiconformal mappings
2011/1/21
We settle the problem of the uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations @f(z) = H(z, @f(z)). It turns out that the uniqueness holds under definite and explicit bou...
An example of non-homeomorphic conjugate varieties
example non-homeomorphic conjugate varieties
2010/12/13
We give examples of smooth quasi-projective varieties over complex numbers, in the context of connected Shimura varieties, which are not homeomor-phic to a conjugate of itself by an automorphism of th...