References
Andreotti, A., Vesentini, E.: Carleman estimates for the Laplace-Beltrami equation on complex manifolds. Inst. Hautes Études Sci. Publ. Math.25, 313–362 (1965).
Fujiki, A., Nakano, S.: Supplement to “On the inverse of monoidal transformation”. Publ. Res. Inst. Math. Sci.7, 637–644 (1971–72).
Grauert, H.: Über Modifikationen und exzeptionelle analytische Mengen. Math. Ann.146, 331–368 (1962).
Grothendieck, A.: Éléments de Géometrie Algébrique II. Inst. Hautes Études Sci. Publ. Math.8 (1961).
Hörmander, L.:L 2 estimates and existence theorems for the\(\bar \partial\) operator. Acta Math.113, 89–152 (1965).
Hörmander, L.: An introduction to complex analysis in several variables. Princeton, N.J.: Van Nostrand 1966.
Knutson, D.: Algebraic Spaces. Lecture Notes in Mathematics203, Berlin-Heidelberg-New York: Springer 1971.
Kodaira, K.: On a differential-geometric method in the theory of analytic stacks. Proc. Nat. Acad. Sci. USA39, 1268–1273 (1953).
Kodaira, K.: On kähler varieties of restricted type. Ann. Math.60, 28–48 (1954).
Markoe, A.: Analytic families of differential complexes. J. Functional Analysis9, 181–188 (1972).
Markoe, A., Rossi, H.: Families of strongly pseudoconvex manifolds, in “Symposium on several complex variables, Park City, Utah, 1970”. Lecture Notes in Mathematics184. Berlin-Heidelberg-New York 1971.
Moisezon, B.G.: Irreducible exceptional submanifolds of the first kind of three-dimensional complex analytic manifolds. Dokl. Akad. Nauk SSSR161, 279–280 (1965) (translated in: Soviet Math. Dokl.6, 402–403 (1965)).
Moisezon, B.G.: Onn-dimensional compact complex varieties withn algebraically independent meromorphic functions III. Izv. Akad. Nauk SSSR Ser. Mat.30, 621–656 (translated in: Amer. Math. Soc. Transl.(2) 63, 139–177 (1967)).
Nakano, S.: On the inverse of monoidal transformation. Publ. Res. Inst. Math. Sci.6, 483–502 (1970–71).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cornalba, M. Two theorems on modifications of analytic spaces. Invent Math 20, 227–247 (1973). https://doi.org/10.1007/BF01394096
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01394096