scholarly journals Ramification theory for higher dimensional local fields

2002 ◽  
pp. 1-16 ◽  
Author(s):  
Victor Abrashkin
Keyword(s):  
Local Fields ◽  
Higher Dimensional ◽  
Ramification Theory

The Shafarevich Basis in Higher-Dimensional Local Fields

2014 ◽  
Vol 202 (3) ◽  
pp. 410-421 ◽  
Author(s):  
E. V. Ikonnikova ◽  
E. V. Shaverdova
Keyword(s):  
Local Fields ◽  
Higher Dimensional

The Hilbert Symbol in Higher-Dimensional Local Fields for Formal Lubin−Tate Groups

2013 ◽  
Vol 192 (2) ◽  
pp. 137-153 ◽  
Author(s):  
S. S. Afanas’eva ◽  
B. M. Bekker ◽  
S. V. Vostokov
Keyword(s):  
Local Fields ◽  
Hilbert Symbol ◽  
Higher Dimensional

scholarly journals Tropical geometry over higher dimensional local fields

2015 ◽  
Vol 2015 (698) ◽  
Author(s):  
Soumya D. Banerjee
Keyword(s):  
Local Field ◽  
Fundamental Theorem ◽  
Tropical Geometry ◽  
Local Fields ◽  
Higher Dimensional

AbstractWe introduce the tropicalization of closed sub-schemes of a torus defined over a higher dimensional local field. We study the basic invariants of such tropicalizations. This is a generalization of the fundamental theorem of tropical geometry to higher dimensional local fields.

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