Titlebook: Desingularization: Invariants and Strategy; Application to Dimen Vincent Cossart,Uwe Jannsen,Shuji Saito Book 2020 The Editor(s) (if applic

conceal

https://doi.org/10.1007/978-3-322-96526-4In 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.

SPER

Jörg Höppner,Dieter Feige,Werner DelfmannIn 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.

NEEDY

Jörg Höppner,Dieter Feige,Werner DelfmannIn this chapter we prepare some key lemmas for the proof of Theorem ..

杂役

https://doi.org/10.1007/978-3-322-96526-4In this chapter we prove Theorem 13.7 below, which implies Key Theorem . under the assumption that the residue fields of the initial points of . are separably algebraic over that of .. The proof is divided into two steps.

人类的发源

Jörg Höppner,Dieter Feige,Werner DelfmannIn this chapter we complete the proof of key Theorem . (see Theorem 14.4 below).

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CREST

Basic Invariants for Singularities,In this chapter we introduce some basic invariants for singularities.