Keywords
- Exact Sequence
- Complete Intersection
- Hodge Structure
- Regular Sequence
- Homogeneous Element
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References
V.I. ARNOL'D: Normal forms of functions, Uspehi Mat. Nauk, 29, No.2 (1974), 11–49 (in Russian; Engl. Transl.: Russian Math. Surveys, 29, No. 2 (1974), 10–50).
M. ATIYAH, I. MACDONALD: Introduction to commutative algebra, Addison-Wesley Publ. Comp., 1969.
N. BOURBAKI: Groupes et Algebres de Lie, ch. IV–VI, Hermann, 1968.
F. CATANESE: Surfaces with k2=pg=1 and their period mapping; Proc. Copenhagen Sum. Meeting on Alg. Geom., Lect. Notes in Math. vol. 732, 1–29, Springer-Verlag, 1979.
V. DANILOV: Geometry of torical varieties. Uspehi Mat. Nauk 33, No. 2 (1978) 83–134 (in Russian; Engl. Transl.: Russian Math. Surveys, 33, No. 2 (1978), 97–154).
V. DANILOV: Newton polytopes and vanishing cohomology. Funkt. Anal. Priloz 13, No. 2 (1979), 32–47 (in Russian; Engl. Transl. Funct. Anal. Appl. 13, No. 2 (1979), 103–114).
C. DELORME: Espaces projectifs anisotropes, Bull. Soc. Math., France, 103, 1975, 203–223.
I. DOLGACHEV: Automorphic forms and quasihomogeneous singularities (in preparation).
I. DOLGACHEV: Newton polyhedra and factorial rings, J. Pure and App. Algebra 18 (1980), 253–258; 21 (1981), 9–10.
R. FOSSUM: The divisor class group of a Krull domain, Ergeb. Math. Bd. 74, Springer-Verlag. 1973.
P. GRIFFITHS: On the periods of certain rational integrals I, Ann. Math. 90 (1969), 460–495.
A. GROTHENDIECK: Elements de Geometrie Algebrique, ch. 2, Publ. Math. de l'IHES, No. 8, 1961.
A. GROTHENDIECK: Cohomologie locale des faisceaux cohérents et théoremes de Lefschetz locaux et globaux (SGA2), North Holland Publ., 1968.
H. HAMM: Die Topologie isolierten Singularitäten von vollstandigen Dürchschnitten koplexer Hyperflächer Dissertation. Bonn. 1969.
A. HOVANSKII: Newton polyhedra and the genus of complete intersections, Funkt. Anal.: Priloz. 12, No 1 (1978), 51–61 (in Russian; Engl. Transl.: Funct. Anal. Appl., 12, No 1 (1978), 38–46).
E. KUNZ: Holomorphen Differentialformen auf algebraischen Varietäten mit Singularitäten. Manuscripta Math., 15 (1975), 91–108.
YU. I. MANIN: Cubic forms, Moscow, 1972; (in Russian: Engl. Transl. by North Holland, 1974).
J. MILNOR: Singular points of complex hypersurfaces, Ann. Math. Studies, No 61, Princeton, 1968.
S. MORI: On a generalization of complete intersections, Journ. Math. Kyoto Univ., vol. 15, 3 (1975), 619–646.
P. ORLIK, P. WAGREICH: Isolated singularities with ℂ*-action, Ann. Math., 93 (1971), 205–228.
H. PINKHAM: Singularités exceptionneles, la dualite étrange d'Arnold et les surfaces K3, C.R. Acad. Sci. Paris, 284 (1977), 615–617.
H. POPP: Fundamentalgruppen algebraischer Mannigfaltigkeiten, Lect. Notes Math., vol. 176, Springer-Verlag 1970.
J. STEENBRINK: Intersection forms for quasihomogeneous singularities, Comp. Math., v. 34, Fasc. 2, (1977), 211–223.
A. TODOROV: Surfaces of general type with K2=pg=1, I. Ann. Scient. Ec. Norm. Sup., 13 (1980), 1–21.
P. WAGREICH: Algebras of automorphic forms with few generators. Trans. AMS, 262 (1980), 367–389.
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Dolgachev, I. (1982). Weighted projective varieties. In: Carrell, J.B. (eds) Group Actions and Vector Fields. Lecture Notes in Mathematics, vol 956. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101508
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DOI: https://doi.org/10.1007/BFb0101508
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