TY - JOUR
T1 - The strong rigidity theorem for non-archimedean uniformization
AU - Ishida, Masa Nori
AU - Kato, Fumiharu
PY - 1998/1/1
Y1 - 1998/1/1
N2 - In this paper, we present a purely algebraic proof of the strong rigidity for non-Archimedean uniformization, in case the base ring is of characteristic zero. In the last section, we apply this result to Mumford’s construction of fake projective planes. In view of recent result on discrete groups by Cartwright, Mantero, Steger and Zappa, we see that there exist at least three fake projective planes.
AB - In this paper, we present a purely algebraic proof of the strong rigidity for non-Archimedean uniformization, in case the base ring is of characteristic zero. In the last section, we apply this result to Mumford’s construction of fake projective planes. In view of recent result on discrete groups by Cartwright, Mantero, Steger and Zappa, we see that there exist at least three fake projective planes.
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U2 - 10.2748/tmj/1178224897
DO - 10.2748/tmj/1178224897
M3 - Article
AN - SCOPUS:0032216867
SN - 0040-8735
VL - 50
SP - 537
EP - 555
JO - Tohoku Mathematical Journal
JF - Tohoku Mathematical Journal
IS - 4
ER -