欢迎来到天天文库
浏览记录
ID:39223852
大小:919.88 KB
页数:170页
时间:2019-06-28
《The rationality problem in invariant theory.Bohning》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、TheRationalityProbleminInvariantTheoryChristianB•ohningMathematischesInstitutGeorg-August-Universit•atG•ottingeniiContentsIntroductionv1Therationalityproblemininvarianttheory11.1Introduction............................11.2Therationalityproblem.....................21.2.1Quotientsandeldsofi
2、nvariants............21.2.2Resultsforspecicgroups................111.3Conesandhomogeneousbundles................191.3.1Torusorbitsandthenullcone..............191.3.2Straticationofthenullconeandrationality......231.4Overviewofsomefurthertopics.................352Techniques412.1Introductio
3、n............................412.2Methods..............................412.2.1Slicemethodand2-formtrick..............412.2.2Doublebundlemethod..................492.2.3Methodofcovariants...................512.2.4G-bundlesandcongurationspacesofpoints......533RationalityofM3573.1Introduction
4、............................573.2Aremarkable(SL3C;SO3C)-section..............583.2.1(G;H)-sectionsandcovariants..............583.2.2Binaryquartics......................603.2.3Fromquintictocubicequations.............633.2.4Fromcubictoquadraticequations............673.3Furthersectionsandinne
5、rprojections..............78iiiivCONTENTS3.3.1Binaryquarticsagainanda(PSL2C;S4)-section...783.3.2DividingbytheactionofH...............823.3.3Innerprojectionsandthe"no-name"method.....863.3.4AppendixA:Collectionofformulasforsection2....943.3.5AppendixB:Collectionofformulasforsection3....984
6、Rationalityofmoduliofplanecurves1014.1Introduction............................1014.2Proofofrationality........................1044.2.1Outlineofproof......................1044.2.2Notationanddenitionofthecovariants........1074.2.3Speciallinearsubspacesofthebaseloci.........1104.2.4Fiberwise
7、surjectivityofthecovariants.........1124.2.5Sectionsofprincipalbundlesandproofofrationality.1184.3AnotherproofforthedominanceofSd.............1194.3.1CongurationsoflinesandScorzamap.........1195Smalldegreeplanecurves1255.1Introduction.........................
此文档下载收益归作者所有