Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
V. Ancona: Vanishing and Nonvanishing Theorems for Numerically Effective Line Bundles on Complex Spaces. Ann. Mat. pura e app. 149, 153–164 (1987)
D. Arapura: Local Cohomology of Sheaves Differential Forms and Hodge Theory. Preprint, Purdue University 1989
I. Bauer, S. Kosarew: On the Hodge spectral sequence for some classes of non-complete algebraic manifolds. Math. Ann. 284, 577–593 (1989)
I. Bauer, S. Kosarew: Kodaira vanishing theorems on non-complete algebraic manifolds. To appear in Math. Z.
A. Borel et al.: Intersection cohomology. Progress in Math. vol. 50, Birkhäuser Verlag, Boston-Basel-Stuttgart 1984
P. Deligne: Théorèmes de Lefschetz et critères de dégénérescence de suites spectrales. Publ. Math. I.H.E.S. 35 (1968), 107–126
P. Deligne: Théorie de Hodge II, III. Publ. Math. I.H.E.S. 40 (1971), 5–57; 44 (1974), 5–77
P. Deligne, L. Illusie: Relèvements modulo p2 et décomposition du complexe de de Rham. Invent. math. 89, 247–270 (1987)
H. Flenner: Die Sätze von Bertini für lokale Ringe. Math. Ann. 229, 97–111 (1977)
M. Goresky, R. Mac Pherson: Intersection Homology II. Invent. math. 71, 77–129 (1983)
F. Guillén, V. Navarro Aznar, P. Pascual-Gainza, F. Puerta: Hyperrésolutions cubiques et descente cohomologique. Lect. Notes in Math. 1335, Springer Verlag, Berlin Heidelberg New York London Paris Tokyo 1988
H. Grauert, O. Riemenschneider: Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen. Invent. math. 11, 263–292 (1970)
H. Grauert, O. Riemenschneider: Kählersche Mannigfaltigkeiten mit hyper-q-konvexem Rand. Problems in Analysis, Symp. in Honor of S. Bochner, p. 61–79, Princeton University Press 1970
H. Hironaka: Smoothing of algebraic cycles of small dimensions. Amer. J. Math. 90, 1–54 (1968)
Y. Kawamata: Characterization of abelian varieties. Compositio Math. 43, 253–276 (1981)
Y. Manin: Correspondences, motifs and monoidal transformations. Math. USSR Sb. 6 (1968), 439–469 (engl. translation of Mat. Sb. 77 (1968))
V. Navarro Aznar: Sur la théorie de Hodge des variétés algébriques à singularités isolées. Astér. 130, 272–307 (1985)
T. Ohsawa: A Reduction Theorem for Cohomology Groups of Very Strongly q-Convex Kähler Manifolds. Invent. math. 63, 335–354 (1981)
T. Ohsawa: Hodge Spectral Sequence on Compact Kähler Spaces. Publ. RIMS, Kyoto Univ. 23, 265–274 (1987)
T. Ohsawa: Hodge Spectral Sequence and Symmetry on Compact Kähler Spaces. Publ. RIMS, Kyoto Univ. 23, 613–625 (1987)
T. Ohsawa: Hodge Spectral Sequence on Pseudoconvex Domains II. To appear in: Proc. of Intern. Coll. Compl. Analysis, Bucurešti 1989
T. Ohsawa, K. Takegoshi: A Vanishing Theorem for Hp(X,ωq(B)) on Weakly 1-Complete Manifolds. Publ. RIMS, Kyoto Univ. 17, 723–733 (1981)
T. Ohsawa, K. Takegoshi: Hodge spectral sequence on pseudoconvex domains. Math. Z. 197, 1–12 (1988)
C. Okonek: Concavity, Convexity and Complements in Complex Spaces. Math. Gott. 27 (1985)
M. Schneider: Lefschetzsätze und Hyperkonvexität, Invent. math. 31, 183–192 (1975)
A. J. Sommese: Submanifolds of Abelian Varieties. Math. Ann. 233, 229–256 (1978)
J. Steenbrink: Vanishing theorems on singular spaces. Astér. 130, 330–341 (1985)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag
About this paper
Cite this paper
Bauer, I., Kosarew, S. (1991). Some aspects of hodge theory on non-complete algebraic manifolds. In: Noguchi, J., Ohsawa, T. (eds) Prospects in Complex Geometry. Lecture Notes in Mathematics, vol 1468. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086198
Download citation
DOI: https://doi.org/10.1007/BFb0086198
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54053-3
Online ISBN: 978-3-540-47370-1
eBook Packages: Springer Book Archive