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Corrections to “Seminormal rings and weakly normal varieties”

Published online by Cambridge University Press:  22 January 2016

Marie A. Vitulli
Marie A. Vitulli*
Affiliation:
Department of Mathematics, University of Oregon Eugene, Oregon, 97403 U.S.A.
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In “Seminormal rings and weakly normal varieties” we introduced the notion of a c-regular function on an algebraic variety defined over an algebraically closed field of characteristic zero. Our intention was to describe those k-valued functions on a variety X that become regular functions when lifted to the normalization of X, but without any reference to the normalization in the definition. That is, we aspired to identify the c-regular functions on X with the regular functions on the weak normalization of X

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 107 , September 1987 , pp. 147 - 157
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1987

References

[1] Andreotti, A. and Bombieri, E., Sugli omeomorfismi delle varietáalgebriche, Ann. Scuola Norm. Sup. Pisa, (1969), 430–450.Google Scholar
[2] Dieudonné, J., Cours de Géométrie Algébrique, II: Précis de géométrie algébrique élémentaire, Presses Univ. France, Collection Sup. (1974).Google Scholar
[3] Grothendieck, A. and Dieudonné, J., Eléments de Géométrie Algébrique, Chapitre 4 (Troisième Partie), Étude locale des schémas et des morphismes de schémas, Publ. Math. IHES, 28 (1966).Google Scholar
[4] Leahy, J. V. and Vitulli, M. A., Seminormal rings and weakly normal varieties, Nagoya Math. J., 82 (1981), 27–56.Google Scholar
[5] Lipkovski, A., A homeomorphic extension of geometric rings is integral, Publ. Inst. Math, (Beograd) (N.S.), 32 (461)(1982), 105–107.Google Scholar
[6] Marinari, M. G. and Raimondo, M., Integral morphisms and homemorphisms of affine k-varieties, Commutative Algebra, Proceedings of the Trento Conference (1981), Lecture Notes in Pure and Applied Math., 34, Marcel Dekker, New York, 1983.Google Scholar
[7] Ooishi, A., On seminormal rings (general survey), Lecture Notes RIMS, Kyoto University, No. 374 (1980), 1–17.Google Scholar
[8] Swan, R. G., On seminormality, J. Algebra, 67 (1980), 210–229.Google Scholar
[9] Traverso, C., Seminormality and Picard group, Ann. Scuola Norm. Sup. Pisa, 24 (1970), 585–595.Google Scholar
[10] Vitulli, M. A., On grade and formal connectivity for weakly normal varieties, J. Algebra, 80 (1983), 23–28.Google Scholar