RESEARCH ANNOUNCEMENTS Dagger Formal Geometry and de Rham Cohomology
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作者:
谢斌勇
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机构:
LMAM School of Mathematical Sciences Peking University Beijing 100871 P. R. ChinaLMAM School of Mathematical Sciences Peking University Beijing 100871 P. R. China
谢斌勇
[1
]
机构:
[1] LMAM School of Mathematical Sciences Peking University Beijing 100871 P. R. China
over;
RESEARCH ANNOUNCEMENTS Dagger Formal Geometry and de Rham Cohomology;
D O I:
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中图分类号:
O189.2 [代数拓扑];
学科分类号:
070104 ;
摘要:
Let K be a finite extension of Qp with R its ring of integers and k=Fq its residue field.Let π be a uniformizer of R. At first, let us recall some concepts. A K-linear map L:M→M is called nuclear, if the following two conditions hold. (ⅰ) For every λ≠0 in Kac the algebraic closure of K with g the minimal polynomial of λ over K, ∪(Ker(g(L)n)) is of finite dimension. (ⅱ) The nonzero eigenvalues of L, form a finite set or a sequence with a limit 0. Let us define