[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/jp\/wiki7\/archives\/1172#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/jp\/wiki7\/archives\/1172","headline":"\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u7a7a\u9593 – Wikipedia","name":"\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u7a7a\u9593 – Wikipedia","description":"\u3053\u306e\u8a18\u4e8b\u306b\u306f\u53c2\u8003\u6587\u732e\u3084\u5916\u90e8\u30ea\u30f3\u30af\u306e\u4e00\u89a7\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u304c\u3001\u811a\u6ce8\u306b\u3088\u308b\u53c2\u7167\u304c\u4e0d\u5341\u5206\u3067\u3042\u308b\u305f\u3081\u3001\u60c5\u5831\u6e90\u304c\u4f9d\u7136\u4e0d\u660e\u78ba\u3067\u3059\u3002\u9069\u5207\u306a\u4f4d\u7f6e\u306b\u811a\u6ce8\u3092\u8ffd\u52a0\u3057\u3066\u3001\u8a18\u4e8b\u306e\u4fe1\u983c\u6027\u5411\u4e0a\u306b\u3054\u5354\u529b\u304f\u3060\u3055\u3044\u3002\uff082013\u5e747\u6708\uff09 \u6570\u5b66\u306e\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u7a7a\u9593\uff08\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u304f\u3046\u304b\u3093\u3001\u82f1: perfectoid space\uff09\u3068\u306f\u3001p \u9032\u6570\u4f53\u306b\u4ee3\u8868\u3055\u308c\u308b\u6df7\u6a19\u6570\uff08\u82f1\u8a9e\u7248\uff09\u306e\u4f53\u306e\u4e0a\u3067\u306e\u6570\u8ad6\u5e7e\u4f55\u5b66\u306e\u7814\u7a76\u306b\u7528\u3044\u3089\u308c\u308b\u3001\u30a2\u30c7\u30a3\u30c3\u30af\u7a7a\u9593\uff08\u82f1\u8a9e\u7248\uff09\u306e\u4e00\u7a2e\u3067\u3042\u308b\u3002 \u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u4f53\u3068\u306f\u3001\u968e\u6570\uff08\u9ad8\u3055\u3068\u3082\u3044\u3046\uff091\u306e\u975e\u96e2\u6563\u4ed8\u5024\u304b\u3089\u8a98\u5c0e\u3055\u308c\u305f\u4f4d\u76f8\u3092\u6301\u3064\u5b8c\u5099\u306a\u4f4d\u76f8\u4f53 K \u3067\u3042\u3063\u3066\u3001K\u00b0\/p \u4e0a\u306e\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u81ea\u5df1\u6e96\u540c\u578b \u03a6 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\u306b\u5bfe\u3057\u3066\u3001\u30c1\u30eb\u30c8[\u5b9a\u8a33\u306a\u3057]\uff08tilt\uff09\u3068\u547c\u3070\u308c\u308b\u6709\u9650\u306a\u6a19\u6570 p \u306e\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u4f53 K\u266d","datePublished":"2019-11-29","dateModified":"2019-11-29","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/jp\/wiki7\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/jp\/wiki7\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/cd810e53c1408c38cc766bc14e7ce26a?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/cd810e53c1408c38cc766bc14e7ce26a?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/11\/book.png","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/11\/book.png","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/b\/b5\/NoFonti.svg\/40px-NoFonti.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/b\/b5\/NoFonti.svg\/40px-NoFonti.svg.png","height":"40","width":"40"},"url":"https:\/\/wiki.edu.vn\/jp\/wiki7\/archives\/1172","about":["Wikipedia"],"wordCount":1561,"articleBody":"\u3053\u306e\u8a18\u4e8b\u306b\u306f\u53c2\u8003\u6587\u732e\u3084\u5916\u90e8\u30ea\u30f3\u30af\u306e\u4e00\u89a7\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u304c\u3001\u811a\u6ce8\u306b\u3088\u308b\u53c2\u7167\u304c\u4e0d\u5341\u5206\u3067\u3042\u308b\u305f\u3081\u3001\u60c5\u5831\u6e90\u304c\u4f9d\u7136\u4e0d\u660e\u78ba\u3067\u3059\u3002\u9069\u5207\u306a\u4f4d\u7f6e\u306b\u811a\u6ce8\u3092\u8ffd\u52a0\u3057\u3066\u3001\u8a18\u4e8b\u306e\u4fe1\u983c\u6027\u5411\u4e0a\u306b\u3054\u5354\u529b\u304f\u3060\u3055\u3044\u3002\uff082013\u5e747\u6708\uff09\u6570\u5b66\u306e\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u7a7a\u9593\uff08\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u304f\u3046\u304b\u3093\u3001\u82f1: perfectoid space\uff09\u3068\u306f\u3001p \u9032\u6570\u4f53\u306b\u4ee3\u8868\u3055\u308c\u308b\u6df7\u6a19\u6570\uff08\u82f1\u8a9e\u7248\uff09\u306e\u4f53\u306e\u4e0a\u3067\u306e\u6570\u8ad6\u5e7e\u4f55\u5b66\u306e\u7814\u7a76\u306b\u7528\u3044\u3089\u308c\u308b\u3001\u30a2\u30c7\u30a3\u30c3\u30af\u7a7a\u9593\uff08\u82f1\u8a9e\u7248\uff09\u306e\u4e00\u7a2e\u3067\u3042\u308b\u3002  \u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u4f53\u3068\u306f\u3001\u968e\u6570\uff08\u9ad8\u3055\u3068\u3082\u3044\u3046\uff091\u306e\u975e\u96e2\u6563\u4ed8\u5024\u304b\u3089\u8a98\u5c0e\u3055\u308c\u305f\u4f4d\u76f8\u3092\u6301\u3064\u5b8c\u5099\u306a\u4f4d\u76f8\u4f53 K \u3067\u3042\u3063\u3066\u3001K\u00b0\/p \u4e0a\u306e\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u81ea\u5df1\u6e96\u540c\u578b \u03a6 \u304c\u5168\u5c04\u3067\u3042\u308b\u3082\u306e\u306e\u3053\u3068\u3067\u3042\u308b\u3002\u3053\u3053\u3067 K\u00b0 \u306f\u51aa\u6709\u754c\u5143\u5168\u4f53\u306e\u306a\u3059\u74b0\u3067\u3042\u308b\u3002\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u7a7a\u9593\u306f\u6df7\u6a19\u6570\u306e\u72b6\u6cc1\u3092\u7b49\u6a19\u6570\u306e\u72b6\u6cc1\u3068\u6bd4\u8f03\u3059\u308b\u305f\u3081\u306b\u7528\u3044\u3089\u308c\u308b\u3002\u307e\u305f\u3053\u306e\u3053\u3068\u3092\u76ee\u7684\u3068\u3057\u3066\u5275\u59cb\u3055\u308c\u305f\u3002\u3053\u306e\u6bd4\u8f03\u3092\u6570\u5b66\u7684\u306b\u884c\u3046\u305f\u3081\u306e\u6280\u8853\u7684\u306a\u9053\u5177\u7acb\u3066\u304c\u50be\u540c\u5024\u3068\u6982\u7d14\u5b9a\u7406\u3067\u3042\u308b\u3002\u30da\u30fc\u30bf\u30fc\u30fb\u30b7\u30e7\u30eb\u30c4\u30a7\u306b\u3088\u3063\u30662012\u5e74\u306b\u5275\u59cb\u3055\u308c\u305f[1]\u3002\u4efb\u610f\u306e\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u4f53 K \u306b\u5bfe\u3057\u3066\u3001\u30c1\u30eb\u30c8[\u5b9a\u8a33\u306a\u3057]\uff08tilt\uff09\u3068\u547c\u3070\u308c\u308b\u6709\u9650\u306a\u6a19\u6570 p \u306e\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u4f53 K\u266d \u304c\u5b9a\u307e\u308b\u3002\u96c6\u5408\u3068\u3057\u3066\u306f\u3001\u3053\u308c\u306f\u6b21\u306e\u5f0f  K\u266d=lim\u2190x\u21a6xp\u2061K{displaystyle K^{flat }=varprojlim _{xmapsto x^{p}}K}\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u3002\u3064\u307e\u308a\u3001K\u306e\u5143\u306e\u7121\u9650\u5217(x0, x1, x2, …)\u3067\u3042\u3063\u3066xi  = xpi+1\u3092\u6e80\u305f\u3059\u3082\u306e\u5168\u4f53\u304cK\u266d\u3067\u3042\u308b\u3002K\u266d\u306e\u4e57\u6cd5\u306f\u9805\u5225\u306b\u5b9a\u7fa9\u3055\u308c\u308b\u304c\u3001\u52a0\u6cd5\u306e\u5b9a\u7fa9\u306e\u4ed5\u65b9\u306f\u8907\u96d1\u3067\u3042\u308b\u3002K\u306e\u6a19\u6570\u304c\u6709\u9650\u3067\u3042\u308c\u3070K \u2245 K\u266d\u304c\u6210\u308a\u7acb\u3064\u3002K \u304cQp(p1\/p\u221e){displaystyle mathbb {Q} _{p}(p^{1\/p^{infty }})}\u306ep \u9032\u5b8c\u5099\u5316\u3067\u3042\u308c\u3070\u3001K\u266d\u306fFp((t))(t1\/p\u221e){displaystyle mathbb {F} _{p}((t))(t^{1\/p^{infty }})}\u306e t \u9032\u5b8c\u5099\u5316\u3067\u3042\u308b\u3002  \u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u4f53 K \u4e0a\u306e\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u4ee3\u6570\u3084\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u7a7a\u9593\u3068\u306f\u3001\u304a\u304a\u307e\u304b\u306b\u3044\u3063\u3066\u4f53\u4e0a\u306e\u4ee3\u6570\u3084\u30b9\u30ad\u30fc\u30e0\u306e\u985e\u4f3c\u7269\u3067\u3042\u308b\u3002\u30c1\u30eb\u30c8\u3092\u53d6\u308b\u64cd\u4f5c\u306f\u3053\u308c\u3089\u306b\u3082\u62e1\u5f35\u3055\u308c\u308b\u3002\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u4f53K \u4e0a\u306e\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u7a7a\u9593 X \u306b\u5bfe\u3057\u3066\u3001K\u266d\u4e0a\u306e\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u7a7a\u9593X\u266d\u3092\u5b9a\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u50be\u540c\u5024\uff08tilting equivalence\uff09\u3068\u306f\u3001\u30c1\u30eb\u30c8\u3092\u53d6\u308b\u95a2\u624b (-)\u266d \u306fK\u4e0a\u306e\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u7a7a\u9593\u306e\u570f\u3068K\u266d\u4e0a\u306e\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u7a7a\u9593\u306e\u570f\u306e\u9593\u306e\u570f\u540c\u5024\u3092\u8a98\u5c0e\u3059\u308b\u3068\u3044\u3046\u5b9a\u7406\u3067\u3042\u308b\u3002\u540c\u578b\u3067\u306f\u306a\u3044\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u4f53\u304c\u30c1\u30eb\u30c8\u3092\u53d6\u308b\u3068\u540c\u578b\u306a\u6709\u9650\u6a19\u6570\u306e\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u4f53\u306b\u306a\u308b\u3053\u3068\u304c\u3042\u308b\u3002\u305d\u306e\u5834\u5408\u3001\u305d\u308c\u3089\u306e\u4e0a\u306e\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u7a7a\u9593\u306e\u570f\u306f\u540c\u5024\u306b\u306a\u308b\u3053\u3068\u3082\u3053\u306e\u5b9a\u7406\u306f\u610f\u5473\u3057\u3066\u3044\u308b\u3002\u6982\u7d14\u5b9a\u7406[\u7de8\u96c6]\u5c04\u306e\u6027\u8cea\u306e\u4e2d\u306b\u306f\u3053\u306e\u570f\u540c\u5024\u3067\u4fdd\u305f\u308c\u308b\u3082\u306e\u304c\u3042\u308b\u3002\u30b9\u30ad\u30fc\u30e0\u306e\u5c04\u306e\u6027\u8cea\u306e\u591a\u304f\u306f\u30a2\u30c7\u30a3\u30c3\u30af\u7a7a\u9593\u306e\u5c04\u306b\u5bfe\u3057\u3066\u3082\u540c\u69d8\u306e\u3082\u306e\u304c\u5b9a\u7fa9\u3055\u308c\u308b\u3002\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u7a7a\u9593\u306b\u5bfe\u3059\u308b\u6982\u7d14\u5b9a\u7406\uff08almost purity theorem\uff09\u3068\u306f\u3001\u6709\u9650\u30a8\u30bf\u30fc\u30eb\u5c04\u306b\u95a2\u9023\u3059\u308b\u3082\u306e\u3067\u3001p \u9032\u30db\u30c3\u30b8\u7406\u8ad6\u306b\u304a\u3051\u308b\u30d5\u30a1\u30eb\u30c6\u30a3\u30f3\u30b0\u30b9\u306e\u6982\u7d14\u5b9a\u7406\u306e\u4e00\u822c\u5316\u3067\u3042\u308b\u3002\u5b9a\u7406\u306e\u540d\u524d\u304c\u6697\u793a\u3057\u3066\u3044\u308b\u3088\u3046\u306b\u3001\u8a3c\u660e\u306b\u306f\u6982\u6570\u5b66\uff08\u82f1\u8a9e\u7248\uff09[\u8a33\u8a9e\u7591\u554f\u70b9]\u304c\u7528\u3044\u3089\u308c\u308b\u3002\u307e\u305f\u3001\u53e4\u5178\u7684\u306a\u5206\u5c90\u8de1\u306e\u7d14\u6027\uff08\u82f1\u8a9e\u7248\uff09[\u8a33\u8a9e\u7591\u554f\u70b9]\u3068\u3082\u9593\u63a5\u7684\u306b\u3067\u306f\u3042\u308b\u304c\u95a2\u4fc2\u3057\u3066\u3044\u308b[2]\u3002K \u3092\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u4f53\u3068\u3059\u308b\u3002\u6982\u7d14\u5b9a\u7406\u3068\u306f\u6b21\u306e2\u3064\u306e\u4e3b\u5f35\u306e\u3053\u3068\u3067\u3042\u308b\u3002X \u2192 Y \u304c K \u4e0a\u306e\u30a2\u30c7\u30a3\u30c3\u30af\u7a7a\u9593\u306e\u6709\u9650\u30a8\u30bf\u30fc\u30eb\u5c04\u3067 Y \u304c\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u3060\u3063\u305f\u3068\u3059\u308b\u3002\u3053\u306e\u3068\u304d\u3001X \u3082\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u3067\u3042\u308b\u3002K \u4e0a\u306e\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u7a7a\u9593\u306e\u5c04 X \u2192 Y \u304c\u6709\u9650\u30a8\u30bf\u30fc\u30eb\u3067\u3042\u308b\u3053\u3068\u3068\u3001\u305d\u306e\u30c1\u30eb\u30c8 X\u266d \u2192 Y\u266d \u304c K\u266d \u4e0a\u6709\u9650\u30a8\u30bf\u30fc\u30eb\u3067\u3042\u308b\u3053\u3068\u306f\u540c\u5024\u3067\u3042\u308b\u3002\u4f53\u306e\u5834\u5408\u306e\u6709\u9650\u30a8\u30bf\u30fc\u30eb\u5199\u50cf\u3068\u306f\u6709\u9650\u6b21\u5206\u96e2\u62e1\u5927\u306e\u3053\u3068\u306a\u306e\u3067\u3001\u4efb\u610f\u306e\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u4f53 K \u306b\u5bfe\u3057\u3066 K \u306e\u7d76\u5bfe\u30ac\u30ed\u30a2\u7fa4\u3068 K\u266d \u306e\u305d\u308c\u306f\u540c\u578b\u3067\u3042\u308b\u3053\u3068\u3092\u6982\u7d14\u5b9a\u7406\u306f\u610f\u5473\u3059\u308b\u3002\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u5916\u90e8\u30ea\u30f3\u30af[\u7de8\u96c6]"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki7\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki7\/archives\/1172#breadcrumbitem","name":"\u30d1\u30fc\u30d5\u30a7\u30af\u30c8\u30a4\u30c9\u7a7a\u9593 – Wikipedia"}}]}]