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Constructing higher dimensional local fields
Constructing higher dimensional local fields Algebraic Geometry
2012/4/18
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...
Extremal Sparse Polynomial Systems Over Local Fields
Extremal Sparse Polynomial Systems Local Fields
2010/11/23
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...
Invariant distributions on projective spaces over local fields
Buildings boundary distributions
2010/12/13
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...