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首页> 外文期刊>The Journal of the London Mathematical Society >Serre weights for three‐dimensional ordinary Galois representations
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Serre weights for three‐dimensional ordinary Galois representations

机译:三维普通伽罗尼亚州的Serre权重

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Abstract > Let <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:00246107:media:jlms12064:jlms12064-math-0001" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/jlms12064-math-0001.png"> <mat:mrow> <mat:mi>F</mat:mi> <mat:mo>/</mat:mo> <mat:mi mathvariant="bold">Q</mat:mi> </mat:mrow> </mat:math> be a CM field where <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:00246107:media:jlms12064:jlms12064-math-0002" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/jlms12064-math-0002.png"> <mat:mi>p</mat:mi> </mat:math> splits completely and let <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:00246107:media:jlms12064:jlms12064-math-0003" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/jlms12064-math-0003.png"> <mat:mrow> <mat:mover> <mat:mi>r</mat:mi> <mat:mo>ˉ</mat:mo> </mat:mover> <mat:mo>:</mat:mo> <mat:mo form="prefix">Gal</mat:mo> <mat:mrow> <mat:mo stretchy="false">(</mat:mo> <mat:mover> <mat:mi mathvariant="bold">Q</mat:mi> <mat:mo>ˉ</mat:mo> </mat:mover> <mat:mo>/</mat:mo> <mat:mi>F</mat:mi> <mat:mo stretchy="false">)</mat:mo> </mat:mrow> <mat:mo>→</mat:mo> <mat:msub> <mat:mi>GL</mat:mi> <mat:mn>3</mat:mn> </mat:msub> <mat:mrow> <mat:mo stretchy="false">(</mat:mo> <mat:msub> <mat:mover> <mat:mi mathvariant="bold">F</mat:mi> <mat:mo>ˉ</mat:mo> </mat:mover> <mat:mi>p</mat:mi> </mat:msub> <mat:mo stretchy="false">)</mat:mo> </mat:mrow> </mat:mrow> </mat:math> be a Galois representation whose restriction to <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:00246107:media:jlms12064:jlms12064-math-0004" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/jlms12064-math-0004.png"> <mat:mrow> <mat:mo form="prefix">Gal</mat:mo> <mat:mo stretchy="false">(</mat:mo> <mat:msub> <mat:mover> <mat:mi mathvariant="bold">Q</mat:mi> <mat:mo>ˉ</mat:mo> </mat:mover> <mat:mi>p</mat:mi> </mat:msub> <mat:mo>/</mat:mo> <mat:msub> <mat:mi>F</mat:mi> <mat:mi>w</mat:mi> </mat:msub> <mat:mo stretchy="false">)</mat:mo> </mat:mrow> </mat:math> is ordinary and strongly generic for all places <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:00246107:media:jlms12064:jlms12064-math-0005" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/jlms12064-math-0005.png"> <mat:mi>w</mat:mi> </mat:math> above <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:00246107:media:jlms12064:jlms12064-math-0006" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/jlms12064-math-0006.png"> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译:</span><Abstract XMLNS =“http://www.wiley.com/namespaces/wiley”type =“main”> <title type =“main”>抽象</ title> > let <mat:math xmlns:mat = “http://www.w3.org/1998/math/mathml”display =“内联”altimg =“urn:x-wiley:00246107:媒体:jlms12064:jlms12064-math-0001”xmlns:wiley =“http: //www.wiley.com/namespaces/wiley/wiley“wiley:location =”等式/ jlms12064-math-0001.png“> <mat:mrow> <mat:mi> f </ mat:mi> <mat: Mo> / </ mat:mo> <mat:mi mathvariant =“bold”> q </ mat:mi> </ mat:mrow> </ mat:math>是一个cm字段,其中<mat:math xmlns:mat =“http://www.w3.org/1998/math/mathml”display =“内联”altimg =“urn:x-wiley:00246107:介质:jlms12064:jlms12064-math-0002”xmlns:wiley =“http ://www.wiley.com/namespaces/wiley/wiley“wiley:location =”等式/ jlms12064-math-0002.png“> <mat:mi> p </ mat:mi> </ mat:math>拆分完全并让<mat:math xmlns:mat =“http://www.w3.org/1998/math/mathml”display =“内联”altimg =“urn:x-wiley:00246107:媒体:jlms12064:jlms12064- Math-0003“XMLNS:Wiley =”http://www.wiley.com/namespaces/wiley/wiley“wil EY:位置=“等式/ JLMS12064-MATH-0003.PNG”> <MAT:MROW> <MAT:MI> <MAT:MI> R </ MAT:MI> <MAT:MO>ˉ</ MAT:MO> </ mat:<mat:mo>:</ mat:mo> <mat:mo form =“prefix”> gal </ mat:mo> <mat:mrow> <may:mo stractry =“false”> (</ mat:mo> <mat:移动器> <mat:mi mathvariant =“粗体”> q </ mat:mi> <mat:mo>ˉ</ mat:mo> </ mat:移动器> <mat: Mo> / </ mat:Mo> <mat:mi> f </ mat:mi> <mat:mo stractry =“假”>)</ mat:mo> </ mat:mrow> <mat:mo>→ </ mat:mo> <mat:msub> <mat:mi> gl </ mat:mi> <mat:mn> 3 </ mat:mn> </ mat:msub> <may:mr:mrow> <mat:mo弹力=“假”>(</ mat:mo> <mat:msub> <mat:移动器> <mat:mi mathvariant =“粗体”> f </ mat:mi> <mat:mo>ˉ</ mo: Mo> </ mat:移动器> <mat:mi> p </ mat:mi> </ mat:msub> <mat:mo stractry =“false”>)</ mat:mo> </ mat:mrow> < / MAD:MROW> </ MAT:MATH>是一个Galois表示,其限制到<MAT:MATH XMLNS:MAT =“http://www.w3.org/1998/math/mathml”display =“内联”altimg = “URN:X-Wiley:00246107:媒体:jlms12064:jlms12064-math-0004”xmlns:wiley =“http://www.wiley.com/namespaces/wiley/wiley”wiley:location =“等式/ jlms12064-math -0004.png“> <mat:mrow> <mat:mo form =”prefix“> gal </ mat:mo> <mat:mo stractry =”false“>(</ mat:mo> <mat:msub> <MAT:<mat:mi mathvariant =“粗体”> q </ mat:mi> <mat:mo>ˉ</ mat:mo> </ mat:移动器> <mat:mi> p </ mat: mi> </ mat:msub> <mat:mo> / </ mat:mo> <mat:msub> <mat:mi> f </ mat:mi> <mat:mi> w </ mat:mi> < / mas:msub> <mat:mo stractry =“false”>)</ mat:mo> </ mat:mrow> </ mat:math>所有地方都是普通的,强烈的通用<mat:math xmlns:mat = “http://www.w3.org/1998/math/mathml”display =“内联”altimg =“urn:x-wiley:00246107:媒体:jlms12064:jlms12064-math-0005”xmlns:wiley =“http: //www.wiley.com/namespaces/wiley/wiley“wiley:location =”等式/ jlms12064-math-0005.png“> <mat:mi> w </ mat:mi> </ mat:math>上面< MAT:Math XMLNS:MAT =“http://www.w3.org/1998/math/mathml”display =“内联”Altimg =“URN:X-Wiley:00246107:媒体:JLMS12064:JLMS12064-Math-0006” XMLNS:Wiley =“http://www.wiley.com/namespaces/wiley/wiley”wiley:location =“等式/ jlms12064-math-0006.png”> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-31023/'>《The Journal of the London Mathematical Society》</a> <b style="margin: 0 2px;">|</b><span>2017年第2期</span><b style="margin: 0 2px;">|</b><span>共31页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Morra Stefano&option=202" target="_blank" rel="nofollow">Morra Stefano;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Park Chol&option=202" target="_blank" rel="nofollow">Park Chol;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Institut Montpelliérain Alexander GrothendieckUniversité de MontpellierCase courrier 051 Place Eugène Bataillon 34095 Montpellier France;</p> <p>School of MathematicsKorea Institute for Advanced Study85 Hoegiro Dondaemun‐gu Seoul 02455 Republic of Korea;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/156.html" title="数学">数学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=11F33&option=203" rel="nofollow">11F33;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=11F80 (primary)&option=203" rel="nofollow">11F80 (primary);</a> </p> <div class="translation"> 机译:11F33;11F80(初级); </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704024866730.html">Serre weights for three‐dimensional ordinary Galois representations</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Morra Stefano&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Morra Stefano,</a> <a 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