کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4584598 1630492 2015 40 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Almost purity and overconvergent Witt vectors
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Almost purity and overconvergent Witt vectors
چکیده انگلیسی

In a previous paper, we stated a general almost purity theorem in the style of Faltings: if R is a ring for which the Frobenius maps on finite p-typical Witt vectors over R are surjective, then the integral closure of R   in a finite étale extension of R[p−1]R[p−1] is “almost” finite étale over R  . Here, we use almost purity to lift the finite étale extension of R[p−1]R[p−1] to a finite étale extension of rings of overconvergent Witt vectors. The point is that no hypothesis of p-adic completeness is needed; this result thus points towards potential global analogues of p  -adic Hodge theory. As an illustration, we construct (φ,Γ)(φ,Γ)-modules associated with Artin Motives over QQ. The (φ,Γ)(φ,Γ)-modules we construct are defined over a base ring which seems well-suited to generalization to a more global setting; we plan to pursue such generalizations in later work.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 422, 15 January 2015, Pages 373–412
نویسندگان
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