References
Arnold, V.: Normal forms for functions near degenerate critical points, the Weyl groupA k ,D k ,E k and Lagrangian singularities. Functional Anal. App.6, 254–272 (1972)
Artin, E.: On isolated rational singularities of surfaces. Amer. J. Math.88, 129–136 (1966)
Brieskorn, E.: Rationale Singularitäten komplexer Flächen. Invent. Math.14, 336–358 (1968)
Burns, D.: On rational singularities in dimensions >2. Math. Ann.211, 237–244 (1974)
Grauert, H.: Über Modifikationen und exzeptionelle analytische Mengen. Math. Ann.146, 331–368 (1962)
Higuchi, T., Watanabe, K., Ohyanagi, S.: On purely elliptic singularities. Sci. Rep. Yokohama Nat. Univ. Sect. I25, 33–35 (1978)
Hironaka, H.: Bimeromorphic smoothing of complex spaces. In: Lecture Notes. Harvard University 1971
Hirzebruch, F.: Hilbert modular surfaces. Enseignement Math.19, 183–281 (1973)
Karras, U.: Klassifikationen zweidimensionaler Singularitäten mit auflösbaren lokalen Fundamentalgruppen. Math. Ann.213, 231–255 (1975)
Kato, M.: Riemann-Roch theorem for strongly pseudoconvex manifolds of dimension 2. Math. Ann.222, 243–250 (1976)
Knöller, F.W.: 2-dimensionale Singularitäten und Differentialformen. Math. Ann.206, 205–213 (1973)
Laufer, H.B.: Normal two-dimensional singularities. Princeton: Princeton University Press 1971
Laufer, H.B.: On rational singularities. Amer. J. Math.94, 597–608 (1972)
Laufer, H.B.: Taut two-dimensional singularities. Math. Ann.205, 131–164 (1973)
Laufer, H.B.: On minimally elliptic singularities. Amer. J. Math.99, 1257–1295 (1977)
Morrow, J., Kodaira, K.: Complex manifolds. New York: Holt, Rinehard & Winston 1971
Pinkham, H.: Normal surface singularities withC* action. Math. Ann.227, 183–193 (1977)
Saito, K.: Einfach-elliptische Singularitäten. Invent. Math.23, 289–325 (1974)
Sakai, F.: Kodaira dimensions of complements of divisors. Complex analysis and algebraic geometry: a collection of papers dedicated to K. Kodaira. Tokyo: Iwanami 1977
Siu, T.: Absolute gap-sheaves and extension of coherent analytic sheaves. Trans. Amer. Math. Soc.141, 361–376 (1969)
Tomaru, T.: Plurigenera δ m for 2-dimensional normal singularities withC*-action. Preprint 1979
Ueno, K.: Classification theory of algebraic varieties and compact complex spaces. In: Lectures Notes in Mathematics 439. Berlin, Heidelberg, New York: Springer 1975
Wagreich, P.: Singularities of complex surfaces with solvable local fundamental group. Topology11, 51–72 (1972)
Wagreich, P.: Elliptic singularities of surfaces. Amer. J. Math.92, 419–454 (1970)
Watanabe, K.: Two dimensional quotient singularities and integrable differential forms. 1978 (unpublished)
Watanabe, K.: On purely elliptic singularties of dimensions >2. 1979 (in preparation)
Yau, S.S.T.: Two theorems in higher dimensional singularities. Math. Ann.231, 44–59 (1977)
Yoshinaga, E., Ohyanagi, S.: A criterion for 2-dimensional normal singularities to be weakly elliptic. Sci. Rep. Yokohama Nat. Univ. (to appear)
Yoshinaga, E., Watanabe, K.: On the geometric genus and the inner modality of quasihomogeneous isolated singularities. Sci. Rep. Yokohama Nat. Univ. Sect. I25, 45–53 (1978)
Artin, M.: Algebraic approximation of structures over complete local rings. Publ. Math. I.H.E.S.36 (1969)
Andreotti, A., Grauert, H.: Théorèmes de finitude pour la cohomologie des espaces complexes. Bull. Soc. Math. France90, 193–259 (1962)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Watanabe, K. On plurigenera of normal isolated singularities. I. Math. Ann. 250, 65–94 (1980). https://doi.org/10.1007/BF01422185
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01422185