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EnglishIn this note we survey and discuss the main results on the multiplicity sequence we introduced in former papers as a generalization of Samuel's multiplicity. We relate this new multiplicity to other numbers introduced in different contests, for example the Segre numbers of Gaffney and Gassler and the Hilbert coefficients defined by Ciupercă. Discussing some examples we underline the usefulness of the multiplicity sequence for concrete calculations in algebraic geometry using computer algebra systems.
| Titolo: | Generalized Samuel Multiplicities and Applications |
| Autore/i: | ACHILLES, HANS JOACHIM RUDIGER; MANARESI, MIRELLA |
| Autore/i Unibo: | |
| Anno: | 2006 |
| Rivista: | |
| Abstract: | In this note we survey and discuss the main results on the multiplicity sequence we introduced in former papers as a generalization of Samuel's multiplicity. We relate this new multiplicity to other numbers introduced in different contests, for example the Segre numbers of Gaffney and Gassler and the Hilbert coefficients defined by Ciupercă. Discussing some examples we underline the usefulness of the multiplicity sequence for concrete calculations in algebraic geometry using computer algebra systems. |
| Data prodotto definitivo in UGOV: | 2006-09-29 14:53:19 |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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