{"id":12846,"date":"2024-01-15T13:27:09","date_gmt":"2024-01-15T13:27:09","guid":{"rendered":"https:\/\/science-hub.click\/%E5%86%86%E9%8C%90%E7%B9%8A%E7%B6%AD-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-01-15T13:27:09","modified_gmt":"2024-01-15T13:27:09","slug":"%E5%86%86%E9%8C%90%E7%B9%8A%E7%B6%AD-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=12846","title":{"rendered":"\u5186\u9310\u7e4a\u7dad – \u5b9a\u7fa9"},"content":{"rendered":"

\u5c0e\u5165<\/h2>

\u5186\u9310\u30d0\u30f3\u30c9\u30eb<\/b>\u306f\u4ee3\u6570\u591a\u69d8\u4f53\u3067\u3059\u3002<\/p>

\u3053\u308c\u3089\u306e\u66f2\u9762\u306f\u3001\u6b74\u53f2\u7684\u306b\u306f\u3001 X<\/i> 2<\/sup> + a<\/i> X<\/i> Y<\/i> + b<\/i> Y<\/i> 2<\/sup> = P<\/i> ( T<\/i> )<\/span>\u306e\u5f62\u5f0f\u306e\u30c7\u30ab\u30eb\u30c8\u65b9\u7a0b\u5f0f\u306e\u89e3\u3068\u3057\u3066\u73fe\u308c\u307e\u3059\u3002<\/p>

\u7406\u8ad6\u7684\u306b\u306f\u3001\u3053\u308c\u3089\u306f\u30bb\u30f4\u30a7\u30ea \u30d6\u30e9\u30a6\u30a2\u30fc\u66f2\u9762\u3068\u307f\u306a\u3055\u308c\u307e\u3059\u3002\u3088\u308a\u6b63\u78ba\u306b\u306f\u30b7\u30e3\u30c8\u30ec\u306e\u8868\u9762\u306e\u3088\u3046\u306a\u3082\u306e\u3067\u3059\u3002\u3053\u308c\u3089\u306f\u3001\u6a19\u6e96\u7684\u306a\u7dda\u7e54\u9762<\/a><\/span>\u306e\u30b0\u30ec\u30fc\u30c9<\/span>2 \u30b3\u30fc\u30c6\u30a3\u30f3\u30b0<\/span>\u3068\u3057\u3066\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>

\u307e\u305f\u3001\u4f53k<\/i><\/span>\u306e\u30b3\u30db\u30e2\u30ed\u30b8\u30fc\u7fa4\u756a\u53f7 2 \u306e\u8a18\u53f7( a<\/i> , P<\/i> )<\/span>\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u3082\u306e\u3068\u3057\u3066\u3001\u540c\u578b\u5199\u50cf\u307e\u3067\u898b\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>

\u5b9f\u969b\u306b\u306f\u3001\u3053\u308c\u3089\u306f\u975e\u5e38\u306b\u5358\u7d14\u306a\u66f2\u9762\u3067\u3042\u308a\u3001\u305d\u306e\u5206\u5272\u30b0\u30eb\u30fc\u30d7\u306f\u3088\u304f\u77e5\u3089\u308c\u3066\u304a\u308a\u3001\u6700\u3082\u5358\u7d14\u306a\u9762\u3067\u306f\u3001\u5408\u7406\u7684\u3067\u3042\u308b\u3068\u3044\u3046\u7279\u6a29\u3092\u30c7\u30eb \u30da\u30c3\u30c4\u30a9\u306e\u66f2\u9762\u3068\u5171\u6709\u3057\u3066\u3044\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u73fe\u4ee3\u6570\u5b66<\/a><\/span>\u306e\u591a\u304f\u306e\u554f\u984c\u3001\u7279\u306b\u975e\u5408\u7406\u7684\u306a\u554f\u984c\u3001\u3064\u307e\u308a\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e\u4ee3\u6570\u66f2\u7dda<\/a><\/span>\u306e\u3053\u308c\u3089\u306e\u66f2\u9762\u4e0a\u306e\u975e\u5408\u7406\u6027<\/span>\u306e\u554f\u984c\u306f\u672a\u89e3\u6c7a\u306e\u307e\u307e\u3067\u3059\u3002<\/p>

\n\"\u5186\u9310\u7e4a\u7dad<\/figure>

\u7d20\u6734\u306a\u30d0\u30fc\u30b8\u30e7\u30f3<\/h2>

\u5186\u9310\u30d0\u30f3\u30c9\u30eb<\/a><\/span>\u3092\u6b63\u3057\u304f<\/i>\u8a18\u8ff0\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u5de6\u5074\u306e\u4e8c\u6b21\u5f62\u5f0f<\/a><\/span>\u3092\u7e2e\u5c0f\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5909\u6570<\/a><\/span>\u3092\u7121\u5bb3\u306b\u5909\u66f4\u3057\u305f\u5f8c\u3001 X<\/i> 2<\/sup> \u2212 a<\/i> Y<\/i> 2<\/sup> = P<\/i> ( T<\/i> )<\/span>\u3068\u3044\u3046\u30bf\u30a4\u30d7\u306e\u5358\u7d14\u306a\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>

\u7b2c\u4e8c\u306b<\/a><\/span>\u3001 \u9762\u3092<\/a><\/span>\u7121\u9650<\/a><\/span>\u306b\u5b8c\u6210\u3055\u305b\u308b<\/span>\u305f\u3081\u306b\u3001\u5c04\u5f71\u7a7a\u9593\u306b\u8eab\u3092\u7f6e\u304f\u3053\u3068\u304c\u9069\u5207\u3067\u3059\u3002<\/p>

\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u540c\u6b21\u5ea7\u6a19<\/a><\/span>\u3067\u65b9\u7a0b\u5f0f\u3092<\/a><\/span>\u66f8\u304d\u3001\u6700\u521d\u306b\u30d0\u30f3\u30c9\u30eb\u306e\u76ee\u306b\u898b\u3048\u308b\u90e8\u5206\u3092\u8868\u73fe\u3057\u307e\u3059\u3002\u306e\u305f\u3081\u306b

$$ { t\\in A^1_k} $$<\/div>\u305d\u3057\u3066
$$ {(x:y:z)\\in P^2_k} $$<\/div> X<\/i> 2<\/sup> \u2212 a<\/i> Y<\/i> 2<\/sup> = P<\/i> ( T<\/i> ) Z<\/i> 2<\/sup><\/span>\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/p>

\u3053\u308c\u3060\u3051\u3067\u306f\u30d0\u30f3\u30c9\u30eb\u3092 (\u304d\u308c\u3044\u3067\u30b9\u30e0\u30fc\u30ba\u306a<\/span>\u65b9\u6cd5\u3067) \u5b8c\u6210\u3055\u305b\u308b\u306b\u306f\u5341\u5206\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u306e\u5f8c\u3001\u53e4\u5178\u7684\u306a\u30ab\u30fc\u30c9\u306e\u5909\u66f4\u3092\u4f7f\u7528\u3057\u3066\u3001\u30d0\u30f3\u30c9\u30eb\u3092\u7121\u9650\u306b<\/i>\u8cbc\u308a\u4ed8\u3051\u3066\u3044\u304d\u307e\u3059\u3002<\/p>

\u7121\u9650\u304b\u3089\u898b\u308b\u3068\uff08\u3064\u307e\u308a\u3001\u5909\u5316\u3092\u901a\u3057\u3066\uff09

$$ { t \\mapsto t’=\\frac 1 t} $$<\/div> )\u3001\u540c\u3058\u30d0\u30f3\u30c9\u30eb (\u30d5\u30a1\u30a4\u30d0\u30fct<\/i> = 0<\/span>\u304a\u3088\u3073t<\/i> ‘ = 0<\/span>\u3092\u9664\u304f) \u306f\u3001 X<\/i> ‘ 2<\/sup> \u2212 a<\/i> Y<\/i> ‘ 2<\/sup> = P<\/i> *<\/sup> ( T<\/i> ‘) Z<\/i> ‘ 2<\/sup><\/span>\u306e\u89e3\u306e\u30bb\u30c3\u30c8<\/a><\/span>\u3068\u3057\u3066\u8a18\u8ff0\u3055\u308c\u307e\u3059\u3002\u3053\u3053\u3067\u3001 P<\/i> *<\/sup> ( T<\/i> ‘) \u306f<\/span>\u5f53\u7136P<\/i><\/span>\u306e\u9006<\/a><\/span>\u591a\u9805\u5f0f<\/a><\/span>\u3068\u3057\u3066\u73fe\u308c\u307e\u3059\u3002\u30ab\u30fc\u30c9\u306e\u5909\u66f4( x<\/i> ‘: y<\/i> ‘: z<\/i> ‘)<\/span>\u3067\u4f55\u304c\u8d77\u3053\u308b\u304b\u3092\u4ee5\u4e0b\u306b\u8a73\u3057\u304f\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>

\u30d0\u30f3\u30c9\u30ebF<\/i> a<\/i> \u3001 P<\/i><\/sub><\/span><\/span><\/h3>

\u8cea\u554f\u3092\u5358\u7d14\u5316\u3057\u306a\u304c\u3089<\/a><\/span>\u3001\u3082\u3046\u5c11\u3057\u9032\u3081\u308b\u305f\u3081\u306b\u3001\u30d5\u30a3\u30fc\u30eb\u30c9k<\/i><\/span>\u304c\u30bc\u30ed\u306e\u7279\u6027\u3092\u6301\u3061\u3001 m \u304c<\/i><\/span>\u30bc\u30ed\u4ee5\u5916\u306e\u81ea\u7136\u6570<\/a><\/span>\u3067\u3042\u308b\u5834\u5408\u306b\u9650\u5b9a\u3057\u307e\u3059\u3002 P<\/i> ( T<\/i> )<\/span>\u306f\u3001\u6b21\u65702 m<\/i><\/span>\u307e\u305f\u306f2 m<\/i> \u2212 1<\/span>\u306e\u4f53k<\/i><\/span>\u5185\u306e\u4fc2\u6570\u3092\u6301\u3064\u591a\u9805\u5f0f\u3067\u3059\u304c\u3001\u591a\u91cd\u6839\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u30b9\u30ab\u30e9\u30fc<\/a><\/span>\u3092\u8003\u616e\u3057\u307e\u3059

$$ {a \\in k^* \\setminus k^{*2}} $$<\/div> \u3001\u57fa\u672c\u30dc\u30c7\u30a3\u306e\u975e\u6b63\u65b9\u5f62\u8981\u7d20\u3002<\/p>

\u79c1\u305f\u3061\u306f\u5b9a\u7fa9\u3057\u307e\u3059

$$ {P^*(T)=T^{2m}P({1\\over T});} $$<\/div> P \u306e\u9006\u591a\u9805\u5f0f\u3067\u3042\u308a\u3001 F<\/i> a<\/i> \u3001 P \u306f<\/i><\/sub><\/span>\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u308b\u30d0\u30f3\u30c9\u30eb\u3092\u8868\u3057\u307e\u3059\u3002<\/p>

\u610f\u5473 \uff1a<\/b><\/p>

F<\/i> a<\/i> , P \u306f<\/i><\/sub><\/span>2 \u3064\u306e\u8868\u9762U<\/i><\/span>\u3068U<\/i> ‘<\/span>\u3092\u63a5\u7740\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u308b\u8868\u9762\u3067\u3059\u3002

$$ { {P}_{1,k} \\times { A}^1_k } $$<\/div>\u65b9\u7a0b\u5f0f<\/i>X<\/i> 2<\/i> \u2212<\/sup> a<\/i> Y<\/i> 2<\/i> =<\/sup> P<\/sup><\/span> (<\/i> T<\/sup> )<\/i> Z<\/i> 2<\/sup>\u304a\u3088\u3073<\/i>\u200b<\/sup><\/i><\/i><\/sup><\/span>
$$ {\\lbrace T \\neq 0\\rbrace} $$<\/div>\u305d\u3057\u3066
$$ {\\lbrace T’ \\neq 0\\rbrace} $$<\/div>\u540c\u578b\u6027x<\/i> ‘ = x<\/i> \u3001<\/span> \u3001 y<\/i> ‘ = y<\/i> \u3001<\/span>\u304a\u3088\u3073z<\/i> ‘ = z<\/i> t<\/i> m<\/i><\/sup><\/span>\u306b\u3088\u3063\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/p>

\u6b21\u306e\u7d50\u679c\u3092\u793a\u3057\u307e\u3059\u3002<\/p>

\u57fa\u672c\u7684\u306a\u7279\u6027:<\/b><\/p>

\u8868\u9762F<\/i> a<\/i> \u3001 P \u306f<\/i><\/sub><\/span>\u3001\u304d\u308c\u3044\u3067\u6ed1\u3089\u304b\u306ak<\/i> –<\/span>\u8868\u9762\u3067\u3059\u3002\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3p<\/i><\/span>

$$ {p:((x:y:z),t) \\rightarrow t} $$<\/div> U<\/i><\/span>\u3068
$$ {p:((x’:y’:z’),t’) \\rightarrow t’} $$<\/div> U<\/i> ‘<\/span>\u3067\u306f\u3001 P<\/i> 1, k<\/i><\/sub><\/span>\u4e0a\u306b\u5186\u9310\u7e4a\u7dad\u69cb\u9020\u3092\u6301\u3064F<\/i> a<\/i> , P<\/i><\/sub><\/span>\u304c\u63d0\u4f9b\u3055\u308c\u307e\u3059\u3002<\/p>
\n\"\u5186\u9310\u7e4a\u7dad<\/figure>

\u3053\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306e\u5229\u70b9<\/span><\/h3>

\u3053\u308c\u306b\u3088\u308a\u3001\u5186\u9310<\/a><\/span>\u675f\u306e\u5358\u7d14\u306a\u30e2\u30c7\u30eb\u3092\u4e0e\u3048\u308b\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002\u4f55\u3088\u308a\u3082\u3001\u3053\u306e\u5186\u9310\u72b6\u306e\u7e4a\u7dad\u306e\u88ab\u8986\u3092\u6a19\u6e96\u7684\u306a\u7dda\u7e54\u9762\u306e\u3088\u3046\u306b\u8868\u73fe\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u30b3\u30db\u30e2\u30ed\u30b8\u30fc\u306e\u89b3\u70b9\u304b\u3089\u8a00\u3048\u3070\u3001\u53e4\u5178\u8a00\u8a9e\u306f\u305d\u3053\u306b\u7c21\u5358\u306b\u898b\u3064\u304b\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u78ba\u4fe1\u3059\u308b\u305f\u3081\u306b\u3001\u4e0d\u5408\u7406\u6027\u306e\u554f\u984c\u3092\u691c\u8a0e\u3057\u3066\u307f\u307e\u3059\u3002<\/p>

\u4e0d\u5408\u7406<\/h2>

\u3053\u308c\u3089\u306e\u4ee3\u6570\u66f2\u9762\u306e\u4e00\u5408\u7406\u6027\u306e\u554f\u984c\u306f\u672a\u89e3\u6c7a\u3067\u3059\u3002\u3053\u308c\u306b\u306f\u3001\u4fc2\u6570\u304c\u57fa\u4f53\u306b\u3042\u308b\u8868\u9762\u4e0a\u306e\u4ee3\u6570\u66f2\u7dda<\/a><\/span>\u3092\u30c8\u30ec\u30fc\u30b9\u3059\u308b\u3053\u3068\u304c\u542b\u307e\u308c\u307e\u3059 (\u3064\u307e\u308a\u3001\u591a\u9805\u5f0f\u306e\u30ad\u30e3\u30f3\u30bb\u30eb\u306e\u307f\u304c\u8a31\u53ef\u3055\u308c\u307e\u3059)\u3002<\/p>

\u3053\u306e\u3088\u3046\u306a\u66f2\u7dda\u306e\u5b58\u5728\u306f\u3001\u30bb\u30f4\u30a7\u30ea\u30fb\u30d6\u30e9\u30a6\u30a2\u30fc\u66f2\u9762\u306b\u95a2\u3059\u308b\u3042\u308b\u7a2e\u306e\u4e88\u60f3\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002 \u300cMazur \u4e88\u60f3\u300d<\/span>\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u30b3\u30db\u30e2\u30ed\u30b8\u30fc\u7528\u8a9e\u3067\u306f\u6b21\u306e\u3088\u3046\u306b\u89e3\u91c8\u3055\u308c\u307e\u3059\u3002<\/p>

K \u3092<\/i><\/span>\u4f53\u3068\u3059\u308b\u3068\u3001

$$ {{\\overline K}} $$<\/div>\u5206\u96e2\u53ef\u80fd\u306a\u30d5\u30a7\u30f3\u30b9\u3002\u30ac\u30ed\u30a2 \u30b3\u30db\u30e2\u30ed\u30b8\u30fc\u7fa4
$$ {Br(K)=H^2(K, {\\overline K}^*)} $$<\/div>\u306f\u4f53K<\/i><\/span>\u306e Brauer \u7fa4\u3067\u3059\u3002<\/p>

2<\/sub> B<\/i> r<\/i> ( K<\/i> ) \u306f<\/span>2 \u306b\u3088\u3063\u3066\u6bba\u3055\u308c\u308b\u8981\u7d20\u3067\u5f62\u6210\u3055\u308c\u308bB<\/i> r<\/i> ( K<\/i> )<\/span>\u306e\u90e8\u5206\u7fa4\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u76ee\u3057\u307e\u3059\u3002<\/p>

A<\/i><\/span>\u3068B \u304c<\/i><\/span>K<\/i> *<\/sup><\/span>\u306e 2 \u3064\u306e\u8981\u7d20\u3067\u3042\u308b\u5834\u5408\u3001\u30ab\u30c3\u30d7\u306f\u6b21\u306e\u7d50\u679c\u3092\u751f\u6210\u3057\u307e\u3059\u3002

$$ {(A,B)_K\\in H^2(K, \\mu_2)=\\ _2Br(K)\\subset Br(K)} $$<\/div> K<\/i> *<\/sup> \/ K<\/i> * 2<\/sup> = H<\/i> 1<\/sup> ( K<\/i> ,\u03bc 2<\/sub> )<\/span>\u306b\u304a\u3051\u308bA<\/i><\/span>\u3068B<\/i><\/span>\u306e\u30af\u30e9\u30b9\u306f\u3001\u5186\u9310\u65b9\u7a0b\u5f0f\u3092\u7279\u5fb4\u4ed8\u3051\u307e\u3059: X<\/i> 2<\/sup> \u2212 A<\/i> Y<\/i> 2<\/sup> \u2212 B<\/i> Z<\/i> 2<\/sup> = 0<\/span>\u304b\u3089K<\/i> \u2212<\/span>\u540c\u578b\u3002<\/p>

\u753b\u50cf\u304c\u6b21\u306e\u5834\u5408\u306b\u306e\u307f\u3001\u5186\u9310X<\/i> 2<\/sup> \u2212 A<\/i> Y<\/i> 2<\/sup> \u2212 B<\/i> Z<\/i> 2<\/sup> = 0<\/span>\u304cK<\/i><\/span>\u306e\u8d85\u5834L<\/i><\/span>\u5185\u306b\u6709\u7406\u70b9\u3092\u6301\u3064\u3068\u63a8\u8ad6\u3057\u307e\u3059\u3002

$$ {(A,B)_L\\in _2Br(L)} $$<\/div>\u306e
$$ {(A,B)_K\\in _2Br(K)} $$<\/div>\u5236\u9650\u5c04\u306b\u3088\u308b\u3068\u3001\u305d\u308c\u306f\u81ea\u660e\u3067\u3059\u3002<\/p>

\u30d0\u30f3\u30c9\u30eb\u306e\u4e00\u5408\u7406\u6027\u306f\u3001 K<\/i> = k<\/i> ( T<\/i> )<\/span>\u3092\u3068\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3053\u306e\u8a00\u8a9e\u306b\u5909\u63db\u3055\u308c\u307e\u3059\u3002\u3053\u3053\u3067\u3001 k<\/i><\/span>\u306f\u6570\u5024\u30d5\u30a3\u30fc\u30eb\u30c9\u3067\u3059\u3002\u4e00\u822c\u306b\u3001\u30b7\u30f3\u30dc\u30eb\u304ck<\/i><\/span>\u306e\u8981\u7d20<\/i><\/span>\u3092\u6301\u3064 ( a<\/i> , P<\/i> ( T<\/i> )) k<\/i> ( T<\/i> )<\/sub><\/span>\u3068\u66f8\u304b\u308c\u3066\u3044\u308b\u5834\u5408\u306b\u9650\u5b9a\u3057\u307e\u3059\u3002<\/p>

\u3082\u3057

$$ {\\beta(U)\\in k(U)} $$<\/div>\u306f\u975e\u5b9a\u6570\u306e\u6709\u7406\u5206\u6570\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044
$$ {\\beta^*:Br(k(T)) \\to Br(k(U))} $$<\/div>\u30dc\u30c7\u30a3k<\/i> ( T<\/i> )<\/span>\u306e\u30dc\u30c7\u30a3k<\/i> ( U<\/i> )<\/span>\u3078\u306e\u6ce8\u5165\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u5236\u9650\u5c04\u306f\u3001 T \u3092<\/i><\/span>\u03b2( U<\/i> )<\/span>\u306b\u9001\u4fe1\u3057\u307e\u3059\u3002<\/p>

\u03b2 *<\/sup> ( a<\/i> , P<\/i> ( T<\/i> )) k<\/i> ( T<\/i> )<\/sub> = ( a<\/i> , P<\/i> (\u03b2( U<\/i> )) k<\/i> ( U<\/i> )<\/sub><\/span>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>

\u3053\u306e\u8a00\u8a9e\u3067\u306f\u3001\u5186\u9310\u675fX<\/i> 2<\/sup> \u2212 a<\/i> Y<\/i> 2<\/sup> = P<\/i> ( T<\/i> ) Z<\/i> 2<\/sup><\/span>\u306e\u4e0d\u5408\u7406\u6027\u306f\u3001\u78ba\u304b\u306b\u975e\u5b9a\u6570\u306e\u6709\u7406\u5206\u6570\u306e\u5b58\u5728\u3068\u540c\u7b49\u3067\u3059\u3002

$$ {{\\beta(U) \\in k(U)}} $$<\/div> ( a<\/i> , P<\/i> (\u03b2( U<\/i> )) k<\/i> ( U<\/i> )<\/sub><\/span>\u306fBr<\/i> (<\/i> k<\/i> ( U<\/i> ))<\/span>\u306e\u4e2d\u6027\u5143\u7d20\u3067\u3059\u3002<\/p>

\u5b9f\u969b\u3001\u3053\u308c\u306f\u5358\u306b 3 \u3064\u306e\u6709\u7406\u5206\u6570X<\/i> ( u<\/i> )<\/span>\u304c\u3042\u308b\u3068\u3044\u3046\u8003\u3048\u3092\u53cd\u6620\u3057\u3066\u3044\u307e\u3059\u3002 Y<\/i> ( u<\/i> )<\/span> ;\u7b49\u5f0fX<\/i> ( u<\/i> ) 2<\/sup> \u2212 a<\/i> Y<\/i> ( u<\/i> ) 2<\/sup> = P<\/i> (\u03b2( u<\/i> ))<\/span>\u304cK<\/i> ( u<\/i> )<\/span>\u3067\u771f\u3068\u306a\u308b\u3088\u3046\u306b\u3001 K<\/i><\/span>\u4e0a\u3067\u5b9a\u7fa9\u3055\u308c\u305f\u03b2( u<\/i> )<\/span><\/p>

\u6700\u5f8c\u306b\u3001\u30d5\u30a3\u30fc\u30eb\u30c9k \u306f<\/i><\/span>\u6a19\u6570 0 \u3067\u3042\u308a\u3001\u6b63\u78ba\u306a Fadeev \u30b7\u30fc\u30b1\u30f3\u30b9 (\u4ee5\u4e0b\u3092\u53c2\u7167) \u306b\u3088\u308a\u3001\u5270\u4f59\u306b\u95a2\u3057\u3066B<\/i> r<\/i> ( k<\/i> ( U<\/i> ))<\/span>\u306e\u8981\u7d20\u306e\u7121\u52b9\u6027\u3092\u8868\u73fe\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p><\/div>

\n\"\u5186\u9310\u7e4a\u7dad<\/figure>

\u53c2\u8003\u8cc7\u6599<\/h2>
  1. \u039a\u03c9\u03bd\u03b9\u03ba\u03ae \u03b4\u03ad\u03c3\u03bc\u03b7 \u2013 grec<\/a><\/li>
  2. Conic bundle \u2013 anglais<\/a><\/li>
  3. \u062d\u0632\u0645\u0629 \u0644\u064a\u0641\u064a\u0629 \u2013 arabe<\/a><\/li>
  4. Fibrat \u2013 catalan<\/a><\/li>
  5. Fibrovan\u00fd prostor \u2013 tch\u00e8que<\/a><\/li>
  6. Faserb\u00fcndel \u2013 allemand<\/a><\/li><\/ol><\/div>\n
    \n

    \n \u5186\u9310\u7e4a\u7dad – \u5b9a\u7fa9\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n
    \n \n
    \n
    \n