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Form rings and regular sequences(1)

Published online by Cambridge University Press:  22 January 2016

Paolo Valabrega  and
Giuseppe Valla
Paolo Valabrega
Affiliation:
Istituto matematico-Politecnico di Torino
Giuseppe Valla
Affiliation:
Istituto matematico-Università di Genova
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Hironaka, in his paper [H1] on desingularization of algebraic varieties over a field of characteristic 0, to deal with singular points develops the algebraic apparatus of the associated graded ring, introducing standard bases of ideals, numerical characters ν* and τ* etc. Such a point of view involves a deep investigation of the ideal b* generated by the initial forms of the elements of an ideal A of a local ring, with respect to a certain ideal a.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 72 , December 1978 , pp. 93 - 101
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1978

Footnotes

(1)

The present paper has been written while both authors were members of CNR, section 3 of GNSAGA.

References

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[H2] Hironaka, H., Certain numerical characters of singularities, J. Mat. Kyoto Univ., 10 (1970), 151’187.Google Scholar
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