Article PDF
Avoid common mistakes on your manuscript.
References
[Be] Beauville, A.: Sur le nombre maximum de points doubles d'une surface dans ℙ3(µ(5)=31) Geometrie Algebrique, Angers 1979. Alphen a.d. Rijn Sijthoff Noordhoff 1980, pp. 207–215
[B-W] Burns, D., Wahl, J.,: Local contributions to global deformations of surfaces. Invent. Math.26, 67–88 (1974)
[B-P-V] Barth, W., Peters, C., Van de Ven, A.: Compact complex surfaces. (Ergebnisse der Math., Vol. 4). Berlin, Heidelberg, New York: Springer, 1984
[Cas] Castelnuovo, G.: Osservazioni intorno alla geometria sopra una superficie, Nota II. Rend., Sci. Mat. Fis. Chim. Geol. Ist. Lombardo, Ser. II,24, 1891
[Cat] Catanese, F.: Moduli of algebraic surfaces, III C.I.M.E. Session 1985 on “Theory of moduli”, (Lect. Notes Math.) Berlin, Heidelberg, New York: Springer vol. 1337 (1988), 1–83
[Ch] Chevalley, C.: Invariants of finite groups generated by reflections, Am. J. Math.77, 778–782 (1955)
[Do] Dolgachev, I.: Weighted projective varieties. In: Varieties and group actions. (Lect. Notes Math., Vol. 956, pp. 34–71). Berlin, Heidelberg, New York: Springer (1981)
[Gr] Gravert, H.: Der Satz von Kuranishi für kompakte komplexe Räume. Invent. Math.25, 107–142 (1974)
[Hor 1] Horikawa, E.: On deformations of quintic surfaces, Invent. Math.31, 43–85 (1975)
[Hor 2] Horikawa, E.: Surfaces of general type with smallc 21 , III. Invent. Math.47, 209–248 (1978)
[Ka 1] Kas, A.: On obstructions to deformations of complex analytic surfaces. Proc. Natl. Acad. Sci. U.S.A.58, 402–404 (1967)
[Ka 2] Kas, A.: Ordinary double points and obstructed surfaces. Topology16, 51–64 (1977)
[Ko] Kodaira, K.: On stability of compact submanifolds of complex manifolds. Am. J. Math.85, 79–94 (1963)
[K-M] Kodaira, K., Morrow, J.: Complex manifolds. New York: Holt, Rinehart and Winston, 1974
[K-S] Kodaira, K., Spencer, D.C.: On deformations of complex analytic structures, I-II. Ann. Math.67, 328–466 (1958)
[Kon] Konno, K.: On deformations and the local Torelli problem of cyclic branched coverings. Math. Ann.271, 601–617 (1985)
[Ma] Matsumura, H.: On algebraic groups of birational transformations. Rend. Acc. Lincei Ser 8,34, 151–155 (1963)
[Mi] Miranda, R.: On Canonical Surfaces of general type withK 2=3Χ–10, Math. Z.198, 83–93, (1988)
[Mu 1] Mumford, D.: Further pathologies in algebraic geometry. Am. J. Math.84, 642–648 (1962)
[Mu 2] Mumford, D.: Geometric Invariant Theory. Berlin, Heidelberg, New York: Springer 1965 (2nd edition (1982) with J. Fogarthy coauthor)
[Mu 3] Mumford, D.: On the equations defining Abelian varieties, I. Invent. Math.1, 287–355 (1966)
[Pi] Pinkham, H.: Some local obstructions to deforming global surfaces. Nova Acta Leopold, New Folge, 52, 240, 173–178 (1981)
[Re] Reid, M.: Canonical 3-folds. Geometrie Algebrique. Angers 1979. Alphen a.d. Rijn Sijthoff-Noordhoff 1980, pp. 273–310
[Se] Sernesi, E.: Small deformations of global complete intersections. B.U.M.I.12, 138–146 (1975)
[Wa] Wavrik, J.J.: Obstructions to the existence of a space of moduli, Global Analysis, Princeton Math. Series29, 403–414 (1969)
Author information
Authors and Affiliations
Additional information
Dedicated to the memory of Aldo Andreotti
Rights and permissions
About this article
Cite this article
Catanese, F. Everywhere non reduced moduli spaces. Invent Math 98, 293–310 (1989). https://doi.org/10.1007/BF01388855
Issue Date:
DOI: https://doi.org/10.1007/BF01388855