Cohomologically insignificant degenerations of algebraic varieties
Compositio Mathematica, Tome 42 (1980) no. 3, pp. 279-313. 
@article{CM_1980__42_3_279_0,
     author = {Dolgachev, Igor},
     title = {Cohomologically insignificant degenerations of algebraic varieties},
     journal = {Compositio Mathematica},
     pages = {279--313},
     publisher = {Sijthoff et Noordhoff International Publishers},
     volume = {42},
     number = {3},
     year = {1980},
     mrnumber = {607372},
     zbl = {0466.14003},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1980__42_3_279_0/}
}
TY  - JOUR
AU  - Dolgachev, Igor
TI  - Cohomologically insignificant degenerations of algebraic varieties
JO  - Compositio Mathematica
PY  - 1980
SP  - 279
EP  - 313
VL  - 42
IS  - 3
PB  - Sijthoff et Noordhoff International Publishers
UR  - http://archive.numdam.org/item/CM_1980__42_3_279_0/
LA  - en
ID  - CM_1980__42_3_279_0
ER  - 
%0 Journal Article
%A Dolgachev, Igor
%T Cohomologically insignificant degenerations of algebraic varieties
%J Compositio Mathematica
%D 1980
%P 279-313
%V 42
%N 3
%I Sijthoff et Noordhoff International Publishers
%U http://archive.numdam.org/item/CM_1980__42_3_279_0/
%G en
%F CM_1980__42_3_279_0
Dolgachev, Igor. Cohomologically insignificant degenerations of algebraic varieties. Compositio Mathematica, Tome 42 (1980) no. 3, pp. 279-313. http://archive.numdam.org/item/CM_1980__42_3_279_0/

[1] M. Artin: Some numerical criteria for contractibility of curves on algebraic surfaces. Amer. Journ. Math. 84 (1962) 485-496. | MR | Zbl

[2] M. Artin, G. Winters: Degenerate fibres and stable reduction of curves. Topology, 10 (1971), 373-383. | MR | Zbl

[3] H. Bass: On the ubiquity of Gorenstein rings. Math. Zeitsch. 82 (1963) 8-28. | MR | Zbl

[4] P. Deligne: Theorie de Hodge, II. Publ. Math. de l'I.H.E.S. 40 (1971) 5-58. | Numdam | MR | Zbl

[5] P. Deligne: Theorie de Hodge, III. Publ. Math. de l'I.H.E.S. 44 (1975) 5-77. | Numdam | MR | Zbl

[6] Ph. Griffiths: Periods of integrals on algebraic manifolds. Summary of results and discussion of open problems. Bull. A.M.S. 76 (1970) 228-296. | MR | Zbl

[7] Ph. Griffiths, J. Harris: Principles of algebraic geometry. John Wiley & Sons. 1978. | MR | Zbl

[8] Ph. Griffiths, W. Schmid: Recent developments in Hodge Theory. Discrete subgroups of Lie Groups, Proc. Bombay Colloq. 1973, Oxford Press, 1975, pp. 31-127. | MR | Zbl

[9] Groupes de Monodromie en Geometrie Algebrique (SGA 7 I). Lect. Notes in Math. no. 288, Springer-Verlag, 1972. | Zbl

[10] Groupes de Monodromie en Geometrie Algebriqie (SGA 7 II). Lect. Notes in Math. no. 340, Springer-Verlag, 1973. | Zbl

[11] U. Karras: Deformations of cusp singularities. Proc. Symp. Pure Math., vol. XXX (1977) 37-44. | MR | Zbl

[12] M. Kato, Y. Matsumoto: On the connectivity of the Milnor fiber of a holomorphic function at a critical point. Proc. Confer. Manifolds, Tokyo, 1973, pp. 131-136. | MR | Zbl

[13] K. Kodaira: On compact analytic surfaces. Ann. Math. 77 (1963) 563-626. | Zbl

[14] S. Maclane: Homology. Springer-Verlag, 1963. | Zbl

[15] J. Mather: Stratifications and mappings. Dynamical systems, pp. 195-233, Acad. Press. 1973. | MR | Zbl

[16] J. Milnor: Singular points of complex hypersurfaces. Ann. Math. Studies, 61, Princeton, 1968. | MR | Zbl

[17] D. Mumford: Stability of projective varieties. L'Enseigment Math. IIe Ser., XXIII (1977) 39-110. | MR | Zbl

[18] M. Raynaud: Specialization du foncteur de Picard. Publ. Math. de l'I.H.E.S., 38 (1970) 27-76. | Numdam | Zbl

[19] M. Reid: Elliptic Gorenstein singularities of surfaces. (Preprint), 1976.

[20] J. Roberts: Generic projections of algebraic varieties. Amer. Journ. Math. 93 (1971) 191-214. | MR | Zbl

[21] K. Saito: Einfach-elliptische Singularitaten. Inv. Math. 23 (1974) 289-325. | MR | Zbl

[22] W. Schmid: Variations of Hodge structures: The singularities of the period mapping. Inv. Math. 22 (1973) 211-230. | MR | Zbl

[23] J. Shah: Insignificant limit singularities of surfaces and their mixed Hodge structure. Ann. Math., 109 (1979) 497-536. | MR | Zbl

[24] E. Spanier: Algebraic Topology. McGraw-Hill Book Co. 1966. | MR | Zbl

[25] J. Steenbrink: Limits of Hodge structures. Inv. Math. 31 (1976) 229-257. | MR | Zbl

[26] J. Steenbrink: Mixed Hodge structure on the vanishing cohomology. Real and complex singularities, pp. 525-564, Sijthoff and Noordhoff Internat. Publ. 1977. | MR | Zbl

[27] J. Steenbrink: Cohomologically insignificant degenerations. Compositio Math. 42 (1981) 315-320. | Numdam | MR | Zbl

[28] G. Tjurina: On a type of contractible curves. Doklady Akad. Nauk SSSR, 1973 (1967), 529-531 (Soviet Math. Doklady, 8(196), 441-443). | MR | Zbl

[29] Ph. Wagreich: Elliptic singularities of surfaces. Amer. J. Math., 92 (1970), 419-454. | MR | Zbl