Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Altman A. and Kleiman S. "Introduction to Grothendieck duality theory" Lecture Notes in Math., 146, Springer, New York, 1970.
Bass H., "Algebraic K-theory" Benjamin, new York, 1968.
Boratynski M., A note on set-theoretic complete intersection ideals, J. of Al. 54 (1978), 1–5.
Bourbaki N., "Algebre Commutative" Ch. 1, 2, Hermann, Paris, 1961.
Cowsik C.P. and Nori, Affine Curves in characteristic p are set-theoretic complete intersections, Inv. Math. 45 (1978), 111–114.
Eagon J.A. and Northcott D.G., Ideals defined by matrices and a certain complex associated with them, Proc. Roy. Soc. A 269 (1962), 188–204.
Ferrand D., Un critere explicite pour les intersections completes ensemblistes d’ordre de nilpotence deux, (unpublished).
Ferrand D., Courbes gauches et fibres de rang deux, C.R. Acad. Sci. Paris, 281 (1975), Ser.A, 345–347.
Herzog J. und Kunz E., "Der kanonische Modul eines Cohen-Macaulay Rings", Lecture Notes in Math. 238, Springer, New York, 1971.
Kaplansky I;, "Commutative Rings", Allyn and Bacon, Boston, 1972.
Kumar M., On two conjectures about polynomial rings, Inv.Math. 46 (1978), 225–236.
Kunz E., "Einfuhrung in die Kommutative Algebra und Algebraische Geometrie" F. Vieweg und Sohn, Braunschweig/Wiesbaden, 1980.
Murthy M.P., Complete intersections, Conf. in Comm. alg., 1974, Queen’s Papers in Pure and applied Math., 42.
Northcott D.G., "Finite free resolutions", Cambr.Tracts in Math. 71, Cambr. Univ.Press, London, 1976.
Ohm J., "Space curves as ideal theoretic complete intersections" (preprint).
Peskine C. et Szpiro L., Liaison des varietes algebriques, Inv.Math.26 (1974), 271–302.
Quillen D., Projective modules over polynomial rings, Inv.Math. 36 (1976), 166–172.
Rao A.P., On self-linked curves, Duke Math.Jou. 49,n.2 (1982), 251–273.
Robbiano L. and Valla G., On set theoretic complete intersections in the projective space, (to appear).
Serre J.P., Modules Projectifs et espaces fibres a fibre vectorielle, Sem. Dubreil Pisot, Algebre et Theorie des nombres, t.11, 1957/58,n.23.
Serre J.P., Sur les modules projectifs, Sem. Dubreil-Pisot, 14 (1960–61).
Suslin A.A., Projective modules over a polynomial ring are free,Sov.Math.Dokl. 17 (1976), 1160–1164.
Suslin A.A., On stably free modules, Math.U.S.S.R. Sbornik 102 (1977), 537–550.
Valla G., On determinantal ideas which are set-theoretic complete intersections, Comp.Math. 42 (1981), 3–11.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
Valla, G. (1984). On set-theoretic complete intersections. In: Greco, S., Strano, R. (eds) Complete Intersections. Lecture Notes in Mathematics, vol 1092. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099358
Download citation
DOI: https://doi.org/10.1007/BFb0099358
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13884-6
Online ISBN: 978-3-540-39089-3
eBook Packages: Springer Book Archive