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(u)-standard Bases

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Desingularization: Invariants and Strategy

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2270))

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Abstract

Let R be a regular noetherian local ring with maximal ideal \(\mathfrak {m}\) and residue field \(k=R/\mathfrak {m}\), and let \(J \subseteq \mathfrak {m}\) be an ideal.

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References

  1. A. Grothendieck, J. Dieudonné, Éléments de géométrie algébrique IV. Publ. Math. I.H.É.S. 1: No. 20 (1964), 2: No. 24 (1965), 3: No. 28 (1966), 4: No. 32 (1967).

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  2. 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). (u)-standard Bases. In: Desingularization: Invariants and Strategy. Lecture Notes in Mathematics, vol 2270. Springer, Cham. https://doi.org/10.1007/978-3-030-52640-5_7

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