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

How to cite

top

Griffiths, 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

top
  1. [1] S. BOCHNER, Euler-Poincaré characteristic for Locally Homogeneous and Complex Spaces (Ann. Math., Vol. 51, 1950, pp. 241-261). Zbl0040.38002MR11,617b
  2. [2] E. CARTAN, Groupes finis et continus et la géométrie différentielle, Gauthier-Villars, Paris, 1937. 
  3. [3] E. CARTAN, Sur la déformation projective des surfaces, œuvres complètes ; Vol. 1, Part 3, 1955, pp. 441-539, Gauthier-Villars, Paris. 
  4. [4] G. FUBINI, and E. CECH, Géométrie projective différentielle des surfaces, Gauthier-Villars, Paris, 1931. Zbl0002.35101JFM57.0936.01
  5. [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. [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. [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. [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. [9] P. GRIFFITHS and J. HARRIS, Principles of Algebraic Geometry, John Wiley and Sons, New York, 1978. Zbl0408.14001MR80b:14001
  10. [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. [11] T. OCHIAI, On Holomorphic Curves in Algebraic Varieties with Ample Irregularity (Invent. Math., Vol. 43, 1977, pp. 83-96). Zbl0374.32006MR57 #12912
  12. [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
  1. Ziv Ran, The structure of Gauss-like maps
  2. Antonio Lanteri, Daniele Struppa, Some topological conditions for projective algebraic manifolds with degenerate dual varieties: connections with 𝐏 -bundles
  3. Antonio Lanteri, Daniele Struppa, Some topological conditions for projective algebraic manifolds with degenerate dual varieties: connections with 𝐏 -bundles
  4. Pietro De Poi, Giovanna Ilardi, On the hypersurfaces contained in their Hessian
  5. Antonio Lanteri, Daniele Struppa, Projective 7-folds with positive defect
  6. Gary R. Jensen, Emilio Musso, Rigidity of hypersurfaces in complex projective space
  7. Thiago Fassarella, Foliations with Degenerate Gauss maps on 4
  8. Joseph M. Landsberg, Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties
  9. Elisabetta Colombo, Gian Pietro Pirola, Alfonso Tortora, Hodge-gaussian maps
  10. Dan Abramovich, Subvarieties of semiabelian varieties

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.