X-Received: by 10.107.170.77 with SMTP id t74mr59219816ioe.24.1451896312469; Mon, 04 Jan 2016 00:31:52 -0800 (PST) X-Received: by 10.182.213.7 with SMTP id no7mr673895obc.9.1451896312445; Mon, 04 Jan 2016 00:31:52 -0800 (PST) Path: news.ccsf.jp!tomockey.ddo.jp!border1.nntp.dca1.giganews.com!border2.nntp.dca1.giganews.com!nntp.giganews.com!mv3no17929186igc.0!news-out.google.com!l1ni3162igd.0!nntp.google.com!mv3no25520214igc.0!postnews.google.com!glegroupsg2000goo.googlegroups.com!not-for-mail Newsgroups: fj.sci.math Date: Mon, 4 Jan 2016 00:31:52 -0800 (PST) In-Reply-To: Complaints-To: groups-abuse@google.com Injection-Info: glegroupsg2000goo.googlegroups.com; posting-host=133.16.216.36; posting-account=vqDRSAoAAAC6TG7fw5Br3gMzzlpRlKaf NNTP-Posting-Host: 133.16.216.36 References: <813983a2-fecc-4f73-8d1c-81a14a09052f@googlegroups.com> <5f3f4662-e68c-4488-aeb9-49dad776c526@googlegroups.com> <87f60bcf-a625-405e-8cc7-8d154c2a29b0@googlegroups.com> <05c5b2d2-9791-4fee-92ea-03fcc7a07b49@googlegroups.com> <26c52132-f70d-469e-bbaf-cbe647add2b5@googlegroups.com> <29bea360-aee1-4491-8d58-e3856657513b@googlegroups.com> <6ffdf0b8-0658-49b7-90f8-2c655c609e0b@googlegroups.com> <1c5e747c-24e0-405c-9a8f-42c68109b6fc@googlegroups.com> <6b9f6a3b-061a-453b-a05a-024e9372e844@googlegroups.com> User-Agent: G2/1.0 MIME-Version: 1.0 Message-ID: Subject: =?ISO-2022-JP?B?UmU6IDIbJEJKUT90SiNBR0I/OWA8MCROOiwkTk8iQjNALSRLJEQbKEI=?= =?ISO-2022-JP?B?GyRCJCQkRhsoQg==?= From: chiaki@kit.jp Injection-Date: Mon, 04 Jan 2016 08:31:52 +0000 Content-Type: text/plain; charset=ISO-2022-JP Content-Transfer-Encoding: 7bit Lines: 43 Xref: news.ccsf.jp fj.sci.math:3937 $B9)A!Bg$NDMK\$G$9(B. 2016$BG/(B1$B7n(B3$BF|F|MKF|(B 8$B;~(B24$BJ,(B50$BIC(B UTC+9 Kyoko Yoshida: > f(x,y):=y^m+b_{m-1}(x)y^{m-1}+$B!D(B+b_0(x) > ($BC"$7(B,b_{m-1}(x),$B!D(B,b_0(x)$B$O(Bx_0$B$N6aK5(Bnbhd[x_0,$B&D(B_0)$B$GO"B3$J4X?t(B)$B$N;~(B, > 0<$B"O&E(B<$B&E(B_0$B$KBP$7$F(B,0<$B"P&D(B<$B&D(B_0;0 \not$B":(Bf(Disc[x_0,$B&D(B),C(y_i,$B&E(B))$B!#(B > $B$r<($9$N$G$7$?!#(B > > $B$^$:(B,f^-1(0)$B$OJD=89g(B($B"h(B{0}$B$OJD=89g$G(Bf$B$OO"B34X?t(B)$B$@$+$i(B, > {Ball[(x_0,$B&F(B),$B&Q(B_$B&F(B}_{$B&F":(BC(y_i,$B&E(B)}$B$r(B C \times C $B$N(B Ball $B$r$I$&Dj5A$7$F$$$k$N$+J,$+$j$^$;$s$7(B, { [ } $B$G$O%P%i%s%9$, $B"@(B_{$B&F":(BC(y_i,$B&E(B)}Ball[(x_0,$B&F(B),$B&Q(B_$B&F(B}$B"A(Bf^-1(0)=$B&U$H$$$&(B > $BH>7B$,&Q(B_$B&F$N3+5e$+$i$J$k%3%s%Q%/%H=89g(B{x_0}$B!_(BC(y_i,$B&E(B)$B$X$N3+HoJ$$H$9$k$H(B, > $B"P(B{Ball[(x_0,$B&F(B_j),$B&Q(B_{$B&F(B_j});$B&F(B_j$B":(BC(y_i,$B&E(B)}_{j$B":(B{1.2,$B!D(B,l} such that > {x_0}$B!_(BC(y_i,$B&E(B)$B">"@(B_{j=1..l}Ball[(x_0,$B&F(B_j),$B&Q(B_{$B&F(B_j})$B$,:N$l$k!#(B > $B$3$N;~(B,0<$B"P&Q(B_i G_i:=$B"@(B_{$B&F":(BC(y_i,$B&E(B)}Ball[(x_0,$B&F(B),$B&Q(B_i)$B">"@(B_{j=1..l}Ball[(x_0,$B&F(B_j),$B&Q(B_{$B&F(B_j}). $B$3$3$GDj5A$7$F$$$k(B G_i $B$O(B C \times C $B$NItJ,=89g$G$9$M(B. $B$=$l$O2?8N1&$NM-8BHoJ$$NOB=89g$K4^$^$l$F$$$k$N$G$7$g$&$+(B. > $B$=$3$G(B,G_i:=Disc[x_0,$B&Q(B_i)$B$HCV$/$H(B, $B$3$N(B G_i $B$O(B C $B$NItJ,=89g$G$9$M(B. $BF1$8$K$OCV$1$^$;$s(B. > $B"O(Bx$B":(BG_i$B$KBP$7$F(B, > #{y$B":(BIsd(C(y_i,$B&E(B));f(x,y)=0} > =1/(2$B&P(Bi)$B-s(B_{C(y_i,$B&E(B)}(d/dyf(x,y))/f(x,y)dy:=F_i(x)$B":(BN$B$H$$$&(B > $BEy<0$,@.$jN)$D(B($B"hJP3Q$NDjM}(B)$B!#(B $B$3$N$3$H$K$O(B G_i? \times C(y_i, \epsilon) $B>e$G(B f(x, y) \neq 0 $B$G$"$k$3$H$,I,MW$G$"$j(B, $B$=$l$K$O(B G_i? \times C(y_i, \epsilon) $B$,>e$NM-8BHoJ$$NOB=89g$K(B $B4^$^$l$F$$$k$3$H$r;H$$$?$$$h$&$G$9$,(B, $B$=$l$OL$$@>ZL@$5$l$F$$$J$$$h$&$G$9(B. $B8f:F9M2<$5$$(B. -- $BDMK\@i=)(B@$B4pHW2J3X7O(B.$B5~ET9)7]A!0]Bg3X(B Tsukamoto, C. : chiaki@kit.ac.jp