Algebraic geometry and local differential geometry
Phillip Griffiths; Joseph Harris
Annales scientifiques de l'École Normale Supérieure (1979)
- Volume: 12, Issue: 3, page 355-452
- ISSN: 0012-9593
Access Full Article
topHow to cite
topReferences
top- [1] S. BOCHNER, Euler-Poincaré characteristic for Locally Homogeneous and Complex Spaces (Ann. Math., Vol. 51, 1950, pp. 241-261). Zbl0040.38002MR11,617b
- [2] E. CARTAN, Groupes finis et continus et la géométrie différentielle, Gauthier-Villars, Paris, 1937.
- [3] E. CARTAN, Sur la déformation projective des surfaces, œuvres complètes ; Vol. 1, Part 3, 1955, pp. 441-539, Gauthier-Villars, Paris.
- [4] G. FUBINI, and E. CECH, Géométrie projective différentielle des surfaces, Gauthier-Villars, Paris, 1931. Zbl0002.35101JFM57.0936.01
- [5] W. FULTON and A. HANSEN, A Connectedness Theorem for Projective Varieties, with Applications to Intersections and Singularities of Mappings (preprint available from Brown University). Zbl0389.14002
- [6] M. GREEN, The Moving Frame, Differential Invariants and Rigidity Theorems for Curves in Homogeneous Spaces (Duke J. Math., Vol. 45, 1978). Zbl0414.53039MR80a:53011
- [7] P. GRIFFITHS, On Cartan's Method of Lie Groups and Moving Frames as Applied to Existence and Uniqueness Questions in Differential Geometry (Duke J. Math., Vol. 41, 1974, pp. 775-814). Zbl0294.53034MR53 #14355
- [8] P. GRIFFITHS, Hermitian Differential Geometry, Chern Classes, and Positive Vector Bundles, Global Analysis (papers in honor of K. Kodaira), Princeton Press, 1969, pp. 185-251. Zbl0201.24001MR41 #2717
- [9] P. GRIFFITHS and J. HARRIS, Principles of Algebraic Geometry, John Wiley and Sons, New York, 1978. Zbl0408.14001MR80b:14001
- [10] G. JENSEN, Higher Order Contact of Submanifolds of Homogeneous Spaces (Lecture Notes in Math., No. 610, Springer-Verlag, New York, 1977). Zbl0356.53005MR58 #18226
- [11] T. OCHIAI, On Holomorphic Curves in Algebraic Varieties with Ample Irregularity (Invent. Math., Vol. 43, 1977, pp. 83-96). Zbl0374.32006MR57 #12912
- [12] B. SMYTHE, Weakly Ample Kähler Manifolds and Euler Number, (Math. Ann., Vol. 224, 1976, pp. 269-279). Zbl0354.32009
Citations in EuDML Documents
top- Ziv Ran, The structure of Gauss-like maps
- Antonio Lanteri, Daniele Struppa, Some topological conditions for projective algebraic manifolds with degenerate dual varieties: connections with -bundles
- Antonio Lanteri, Daniele Struppa, Some topological conditions for projective algebraic manifolds with degenerate dual varieties: connections with -bundles
- Pietro De Poi, Giovanna Ilardi, On the hypersurfaces contained in their Hessian
- Antonio Lanteri, Daniele Struppa, Projective 7-folds with positive defect
- Gary R. Jensen, Emilio Musso, Rigidity of hypersurfaces in complex projective space
- Thiago Fassarella, Foliations with Degenerate Gauss maps on
- Joseph M. Landsberg, Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties
- Elisabetta Colombo, Gian Pietro Pirola, Alfonso Tortora, Hodge-gaussian maps
- Dan Abramovich, Subvarieties of semiabelian varieties