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In their book Rapoport and Zink constructed rigid analytic period spaces F for Fontaine’s filtered isocrystals and period morphisms from moduli spaces of p-divisible groups to some of these period spaces. They conjectured the existence of an étale bijective morphism F → F of rigid analytic spaces and of interesting local systems of Qp-vector spaces on F.(More)
We develop the analogue in equal positive characteristic of Fontaine’s theory for crystalline Galois representations of a p-adic field. In particular we describe the analogue of Fontaine’s mysterious functor which assigns to a crystalline Galois representation a Hodge filtration. In equal characteristic the role of the Hodge filtrations is played by(More)
BACKGROUND Radiofrequency ablation (RFA) has become an important adjunct to modern liver surgery. However, scant knowledge on long-term outcome of RFA for colorectal liver metastasis is available, nowadays. METHODS This is a prospective clinical study of patients with liver metastasis of colorectal cancer who were treated by RFA between April 1, 1998, and(More)
Elliptic sheaves (which are related to Drinfeld modules) were introduced by Drinfeld and further studied by Laumon–Rapoport–Stuhler and others. They can be viewed as function field analogues of elliptic curves and hence are objects “of dimension 1”. Their higher dimensional generalizations are called abelian sheaves. In the analogy between function fields(More)
In their book Rapoport and Zink constructed rigid analytic period spaces for Fontaine’s filtered isocrystals, and period morphisms from moduli spaces of p-divisible groups to some of these period spaces. We determine the image of these period morphisms, thereby contributing to a question of Grothendieck. We give examples showing that only in rare cases the(More)
Pure t-motives were introduced by G. Anderson as higher dimensional generalizations of Drinfeld modules, and as the appropriate analogues of abelian varieties in the arithmetic of function fields. In this article we develop their theory regarding morphisms, isogenies, Tate modules, and local shtuka. The later are the analogue of p-divisible groups. We(More)
Bounded local G-shtuka are function field analogs for p-divisible groups with extra structure. We describe their deformations and moduli spaces. The latter are analogous to Rapoport-Zink spaces for p-divisible groups. The underlying schemes of these moduli spaces are affine DeligneLusztig varieties. For basic Newton polygons the closed Newton stratum in the(More)
3724 Background: Numerous publications during the last 3 years have reported on the successful treatment of liver tumors by means of radiofrequency with lower morbidity and mortality rate compared to surgery. This article reports our personal experience since 1998 with the RITA-radiofrequency ablation-system. METHODS Local ablation are performed in(More)