Toshiro Hiranouchi
Published 2014-12-22Version 1
We investigate the class field theory for an open curve over a local field. In particular, we determine the kernel and the cokernel of the reciprocity homomorphism and obtain the one to one correspondence between the set of finite abelian \'etale coverings which are not completely split and the set of finite index open subgroups of the id\`ele class group as in the classical class field theory.
Rost injectivity for classical groups over function fields of curves over local fields
Extensions of local fields and elementary symmetric polynomials
Traces of powers of random matrices over local fields
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