Tropical varieties for non-archimedean analytic spaces
نویسنده
چکیده
For the whole paper, K denotes an algebraically closed field endowed with a nontrivial non-archimedean complete absolute value | |. The corresponding valuation is v := − log | | with value group Γ := v(K). The valuation ring is denoted by K. Note that the residue field K̃ is algebraically closed. In Theorem 1.3, §8 and in the second part of §9, we start with a field K endowed with a discrete valuation and we choose K to be the completion of the algebraic closure of the completion of K (see [BGR], §3.4, for these properties of K).
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