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
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topGriffiths, Phillip, and Harris, Joseph. "Algebraic geometry and local differential geometry." Annales scientifiques de l'École Normale Supérieure 12.3 (1979): 355-452. <http://eudml.org/doc/82039>.
@article{Griffiths1979,
author = {Griffiths, Phillip, Harris, Joseph},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {local differential geometry; second fundamental form; differential of Gauss mappings; degenerate dual varieties; Chern forms; complex analytic manifold; linear system},
language = {eng},
number = {3},
pages = {355-452},
publisher = {Elsevier},
title = {Algebraic geometry and local differential geometry},
url = {http://eudml.org/doc/82039},
volume = {12},
year = {1979},
}
TY - JOUR
AU - Griffiths, Phillip
AU - Harris, Joseph
TI - Algebraic geometry and local differential geometry
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1979
PB - Elsevier
VL - 12
IS - 3
SP - 355
EP - 452
LA - eng
KW - local differential geometry; second fundamental form; differential of Gauss mappings; degenerate dual varieties; Chern forms; complex analytic manifold; linear system
UR - http://eudml.org/doc/82039
ER -
References
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- [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.
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- [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
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- 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
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