This is a preview of subscription content, log in via an institution to check access.
References
Abhyankar, S. S., Local analytic geometry, Academic Press, New York, 1964
Aleksandrov, A. G., on the deformartions of one-dimensional singularities with invariant c = δ + 1 (in Russian), Uspenkhi Mat. Nauk 33(1978)(3), 157–158.
Atiyah, M., Macdonald I., Introduction to commutativve algebra, Addison-Wesley, 1969
Blass J., Blass P., Computation of the conductor of the algebraic surface Za = xbyc, Rev. Roumaine Math. Pures Appl., 27(1982)7, 721–730
Buchsbaum D. A., Rim D. S., A generalized Koszul complex. II. Depth and multiplicity, Trans AMS, 111(1964) 2, 197–224
Burch, L., On ideals of finite homological dimension in local rings, Math. Proc. Cambridge Philos. Soc. 64(1968), 941–948
Draper, R., Fischer K., Derivations into the integral closure. Trans. AMS 271(1982)1, 283–298
Elkik, R., Singularities rationnelles at deformations, Invent. Math., 47(1978)1, 139–147
Ferrand, D., Les modules projectifs de type fini sur anneau le polinôms sur un corps sont libres, Lecture Notes in Math., Nr. 567(1977), 202–221
Greuel, G.-M., Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten, Math. Ann., 214(1975)2, 235–266
Hochster, M., Eagon, J. A., Cohen-Macaulay rings, invariant theory and generic perfection of determinal loci, Amer. J. Math., 93(1971)4, 1020–1058
Hochster, M., The Zariski-Lipman conjecture in the graded case, J. Algebra, 47(1977)2, 411–424
Lipman, J., Free derivation modules on algebraic varieties, Amer. J. Math., 87(1965)4, 874–898
Malgrange, B., Frobenius avec singularitès I. Codimension un, Inst. Hautes Etudes Sci. Publ. Math., Nr. 46(1976), 163–173
Regel, M., Scheja, G., Fortsetzung von Derivationen bei zyklischen Erweiterungen, Nova Acta Leopoldina (NF) 52(1981), Nr. 240, 179–185
Roberts, J., Hypersurfaces with nonsingular normalization- and their double loci, J. Algebra 53(1978)1, 253–267
Saito, K., Quasihomogene isolierte Singularitäten von Hyperflächen, Invent. Math. 14(1971)1, 123–142
Saito, K., On the uniformization of complements of disciminant loci, Preprint, Williams College, 1975
Saito, K., Theory of logarithmic differential forms and logarithmic vector fields, J. Fac. Sci. Univ. Tokyo, Sect. IA Math., 27(1980)2, 265–291
Saito, K., Primitive forms for a universal unfolding of a function with an isolated critical point, J. Fac. Sci. Univ. Tokyo, Sect. IA Math., 28(1982), 775–792
Schaps, M., Deformation of Cohen-Macauley schemes of co-dimension 2 and non-singular deformations of space curves, Amer. J. Math., 99(1977)4, 669–685
Siersma, D., Isolated line singularities, Proc. Symp. Pure Math., 40(1983)2, 485–496
Terao, H., Discriminant of a holomorphic map and logarithmic vector fields, J. Fac. Sci. Univ. Tokyo, Sect. IA Math., 30(1983)2, 379–391
Tessier, B., The hunting of invariants in the geometry of discriminants, In. Real and Complex Singularities, Oslo, 76. Sijthoft-Noordhoff Publ., Alphen aan den Rijn, 1977
Wilson, P. M. H., On blowing up conductor ideals, Math. Proc. Cambridge Philos. Soc. 83(1978)3, 445–450
Zariski, O., Introduction to the theory of algebraic surfaces, Lect. Notes in Math., Springer 83(1969)
Zariski, O., Studies in equisingularity II., Amer. J. Math., 87(1965)4, 972–1006
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Aleksandrov, A.G. Euler-homogeneous singularities and logarithmic differential forms. Ann Glob Anal Geom 4, 225–242 (1986). https://doi.org/10.1007/BF00129909
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00129909