Abstract
In this chapter we are always in Setup A (beginning of Chap. 7). We introduce a polyhedron Δ(J, u) which plays a crucial role in this monograph. It will provide us with useful invariants of singularities of Spec(R∕J) (see Chap. 11). It also give us a natural way to transform a (u)-standard base of J into a standard base of J (see Corollary 8.26).
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References
H. Hironaka, Characteristic polyhedra of singularities. J. Math. Kyoto Univ. 7, 251–293 (1967)
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Cossart, V., Jannsen, U., Saito, S. (2020). Characteristic Polyhedra of J ⊂ R . In: Desingularization: Invariants and Strategy. Lecture Notes in Mathematics, vol 2270. Springer, Cham. https://doi.org/10.1007/978-3-030-52640-5_8
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DOI: https://doi.org/10.1007/978-3-030-52640-5_8
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