De Rham Comparison and PoincaréDuality for Rigid Varieties  

作　　者：Kai-Wen Lan Ruochuan Liu Xinwen Zhu 

机构地区：[1]University of Minnesota,127 Vincent Hall,206 Church Street SE,Minneapolis,MN 55455,USA [2]Beijing International Center for Mathematical Research,Peking University,5 Yi He Yuan Road,Beijing 100871,China [3]California Institute of Technology,1200 East California Boulevard,Pasadena,CA 91125,USA

出　　处：《Peking Mathematical Journal》2023年第1期143-216,共74页北京数学杂志（英文）

摘　　要：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 compatible with Poincaréduality and with the canonical morphisms among such cohomology.We deduce these results from their analogues for rigid analytic varieties that are Zariski open in some proper smooth rigid analytic varieties over k.In particular,we prove finiteness ofétale cohomology with partial compact support of any Z_(p)-local systems,and establish the Poincaréduality for such cohomology after inverting p.

关 键 词：De Rham comparison étale cohomology Rigid analytic variety Poincaréduality 

分 类 号：O15[理学—数学]