@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://www.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://www.numdam.org/item/CM_1980__42_3_279_0/ LA - en ID - CM_1980__42_3_279_0 ER -
Dolgachev, Igor. Cohomologically insignificant degenerations of algebraic varieties. Compositio Mathematica, Volume 42 (1980) no. 3, pp. 279-313. http://www.numdam.org/item/CM_1980__42_3_279_0/
[1] Some numerical criteria for contractibility of curves on algebraic surfaces. Amer. Journ. Math. 84 (1962) 485-496. | MR | Zbl
:[2] Degenerate fibres and stable reduction of curves. Topology, 10 (1971), 373-383. | MR | Zbl
, :[3] On the ubiquity of Gorenstein rings. Math. Zeitsch. 82 (1963) 8-28. | MR | Zbl
:[4] Theorie de Hodge, II. Publ. Math. de l'I.H.E.S. 40 (1971) 5-58. | Numdam | MR | Zbl
:[5] Theorie de Hodge, III. Publ. Math. de l'I.H.E.S. 44 (1975) 5-77. | Numdam | MR | Zbl
:[6] 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] Principles of algebraic geometry. John Wiley & Sons. 1978. | MR | Zbl
, :[8] 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] Deformations of cusp singularities. Proc. Symp. Pure Math., vol. XXX (1977) 37-44. | MR | Zbl
:[12] 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] On compact analytic surfaces. Ann. Math. 77 (1963) 563-626. | Zbl
:[14] Homology. Springer-Verlag, 1963. | Zbl
:[15] Stratifications and mappings. Dynamical systems, pp. 195-233, Acad. Press. 1973. | MR | Zbl
:[16] Singular points of complex hypersurfaces. Ann. Math. Studies, 61, Princeton, 1968. | MR | Zbl
:[17] Stability of projective varieties. L'Enseigment Math. IIe Ser., XXIII (1977) 39-110. | MR | Zbl
:[18] Specialization du foncteur de Picard. Publ. Math. de l'I.H.E.S., 38 (1970) 27-76. | Numdam | Zbl
:[19] Elliptic Gorenstein singularities of surfaces. (Preprint), 1976.
:[20] Generic projections of algebraic varieties. Amer. Journ. Math. 93 (1971) 191-214. | MR | Zbl
:[21] Einfach-elliptische Singularitaten. Inv. Math. 23 (1974) 289-325. | MR | Zbl
:[22] Variations of Hodge structures: The singularities of the period mapping. Inv. Math. 22 (1973) 211-230. | MR | Zbl
:[23] Insignificant limit singularities of surfaces and their mixed Hodge structure. Ann. Math., 109 (1979) 497-536. | MR | Zbl
:[24] Algebraic Topology. McGraw-Hill Book Co. 1966. | MR | Zbl
:[25] Limits of Hodge structures. Inv. Math. 31 (1976) 229-257. | MR | Zbl
:[26] Mixed Hodge structure on the vanishing cohomology. Real and complex singularities, pp. 525-564, Sijthoff and Noordhoff Internat. Publ. 1977. | MR | Zbl
:[27] Cohomologically insignificant degenerations. Compositio Math. 42 (1981) 315-320. | Numdam | MR | Zbl
:[28] On a type of contractible curves. Doklady Akad. Nauk SSSR, 1973 (1967), 529-531 (Soviet Math. Doklady, 8(196), 441-443). | MR | Zbl
:[29] Elliptic singularities of surfaces. Amer. J. Math., 92 (1970), 419-454. | MR | Zbl
: