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This note is a gentle introduction to higher dimensional local fields, with the motivating problem being the standard geometric "localisation-completion" process by which they can be constructed. A di...
We calculate the x-ray absorption spectra of liquid water at ambient conditions and of hexagonal ice close to melting, using a static GW approach that includes approximately local field effects. Quant...
Consider a system F of n polynomials in n variables, with a total of n+k distinct exponent vectors, over any local field L of characteristic 0. We discuss conjecturally tight upper and lower bounds o...
Let 􀀀 be an e An subgroup of PGLn+1(K), with n  2, where K is a local field with residue field of order q and let Pn K be projective n-space over K. The module of coinvariants H0(􀀀;...
In 70's there was discovered a construction how to attach to some algebraic-geometric data an infinite-dimensional subspace in the space k((z)) of the Laurent power series. The construction is known a...

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