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Titlebook: Lectures on p-adic Differential Equations; Bernard Dwork Book 1982 Springer-Verlag New York Inc. 1982 Equations.Hypergeometrische Differen

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樓主: CANTO
11#
發(fā)表于 2025-3-23 09:45:24 | 只看該作者
,The , → ,′ Map,Let . ∈ ? ∩ ?., . ∈ (0, 1). We define .′ ∈ ? ∩ ?., by condition (3.7.0) with the restriction that ..
12#
發(fā)表于 2025-3-23 17:39:25 | 只看該作者
13#
發(fā)表于 2025-3-23 18:25:40 | 只看該作者
Second-Order Linear Differential Equations Modulo Powers of ,None of the symbols concerning equation (2.4.5.1) will be used here. However, the notation of Chapter 5 will be of use.
14#
發(fā)表于 2025-3-23 23:47:35 | 只看該作者
,Dieudonné Theory,Let . be a complete unramified extension of ?. with algebraically closed residue class field. Let . denote the Frobenius automorphism of . over ?.. Let . be a complete subfield of ., and let . (resp. .) be the ring of integers of . (resp. .)
15#
發(fā)表于 2025-3-24 05:07:20 | 只看該作者
Abelian Differentials,The object of this chapter is to explain the meaning of the distinctions involving the relative magnitudes of ., ., and .. The notation here is that of Chapter 1 so the base field is Ω. = Q(.). We define . = . to be the Ω. space, ., of differentials of the form . with . ∈ .. We say that . ∈ . is exact if . for some . ∈ ..
16#
發(fā)表于 2025-3-24 10:17:12 | 只看該作者
17#
發(fā)表于 2025-3-24 13:23:21 | 只看該作者
Supersingular Disks,We proceed to examine more carefully the canonical lifting . of Chapter 15. The hypotheses are those of that section and in particular . = 1. We will restrict our attention to the case Min(., .) > . but the extension to the case . > Max(., .) causes no difficulty. As before we write
18#
發(fā)表于 2025-3-24 17:37:31 | 只看該作者
The Function , on Supersingular Disks (, = 1),In this section we continue the discussion of the matrix . of Lemma 16.5. We again restrict our attention to the case . = 1, Min(., .) > .. By minor modifications, the case . > Max(., .) may also be treated. As before . = ., . represents a supersingular disk.
19#
發(fā)表于 2025-3-24 20:39:37 | 只看該作者
20#
發(fā)表于 2025-3-24 23:33:09 | 只看該作者
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