COHOMOLOGY

作品数：124被引量：100H指数：6
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相关作者：王圣祥周建华杨森更多>>
相关机构：东南大学滁州学院浙江大学更多>>
相关期刊：《Chinese Physics Letters》《Peking Mathematical Journal》《Communications in Computational Physics》《Acta Mathematica Scientia》更多>>
相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>
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A Local Analogue of the Ghost Conjecture of Bergdall-Pollack
《Peking Mathematical Journal》2024年第1期247-344,共98页Ruochuan Liu Nha Xuan Truong Liang Xiao Bin Zhao 
R.Liu is partially supported by the National Natural Science Foundation of China under Agreement No.NSFC-11725101 and the Tencent Foundation;N.Truong is partially supported by L.Xiao’s NSF under Grant DMS-1752703;L.Xiao is partially supported by Simons Collaboration under Grant#278433;NSF under Grant DMS-1502147 and DMS-1752703;the Chinese NSF grant NSFC-12071004,Recruitment Program of Global Experts of China,and a grant from the Chinese Ministry of Education;B.Zhao is partially supported by AMS-Simons Travel Grant.
We formulate a local analogue of the ghost conjecture of Bergdall and Pollack,which essentially relies purely on the representation theory of GL_(2)(Q_(p)).We further study the combinatorial properties of the ghost se...
关键词：Eigencurves Slope of U_(p)operators Overconvergent modular forms Completed cohomology Weight space Gouvêa’s conjecture Gouvêa-Mazur conjecture 
De Rham Comparison and PoincaréDuality for Rigid Varieties
《Peking Mathematical Journal》2023年第1期143-216,共74页Kai-Wen Lan Ruochuan Liu Xinwen Zhu 
Over any smooth algebraic variety over a p-adic local field k,we construct the deRham comparison isomorphisms for theétale cohomology with partial compact support of de Rham Z_(p)-local systems,and show that they are...
关键词：De Rham comparison étale cohomology Rigid analytic variety Poincaréduality 
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