可触知 发表于 2025-3-25 04:24:03
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,Characteristic Polyhedra of , ⊂ ,,In this chapter we are always in Setup A (beginning of Chap. .). We introduce a polyhedron Δ(., .) which plays a crucial role in this monograph. It will provide us with useful invariants of singularities of Spec(.∕.) (see Chap. .). It also give us a natural way to transform a (.)-standard base of . into a standard base of . (see Corollary 8.26).Visual-Acuity 发表于 2025-3-25 22:40:22
http://reply.papertrans.cn/27/2691/269084/269084_25.pngIbd810 发表于 2025-3-26 03:53:55
,Termination of the Fundamental Sequences of ,-Permissible Blow-Ups, and the Case ,,(,) = 1,In this chapter we prove the Key Theorem . in Chap. ., by deducing it from a stronger result, Theorem 10.2 below. Moreover we will give an explicit bound on the length of the fundamental sequence, by the .-invariant of the polyhedron at the beginning. First we introduce a basic setup.farewell 发表于 2025-3-26 07:13:21
,Additional Invariants in the Case ,,(,) = 2,In order to show key Theorem . in Chap. ., we recall further invariants for singularities, which were defined by Hironaka. The definition works for any dimension, as long as the directrix is 2-dimensional.红肿 发表于 2025-3-26 11:54:36
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,Proof in the Case ,,(,) = ,,(,) = 2 , III: Inseparable Residue Extensions,In this chapter we complete the proof of key Theorem . (see Theorem 14.4 below).