On the local differential geometry of complete intersections

Joseph M. Landsberg

Séminaire de théorie spectrale et géométrie (1994-1995)

  • Volume: 13, page 177-188
  • ISSN: 1624-5458

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Landsberg, Joseph M.. "On the local differential geometry of complete intersections." Séminaire de théorie spectrale et géométrie 13 (1994-1995): 177-188. <http://eudml.org/doc/114378>.

@article{Landsberg1994-1995,
author = {Landsberg, Joseph M.},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {moving frames; osculating hypersurfaces; projective differential geometry; second fundamental forms; complete intersections},
language = {eng},
pages = {177-188},
publisher = {Institut Fourier},
title = {On the local differential geometry of complete intersections},
url = {http://eudml.org/doc/114378},
volume = {13},
year = {1994-1995},
}

TY - JOUR
AU - Landsberg, Joseph M.
TI - On the local differential geometry of complete intersections
JO - Séminaire de théorie spectrale et géométrie
PY - 1994-1995
PB - Institut Fourier
VL - 13
SP - 177
EP - 188
LA - eng
KW - moving frames; osculating hypersurfaces; projective differential geometry; second fundamental forms; complete intersections
UR - http://eudml.org/doc/114378
ER -

References

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  2. [FL] FULTON W. and LAZARSFELD R. _ Connectivity and its applications in algebraic geometry, in Algebraic Geometry (Proceedings). Lect. Notes in Math., 862, 26-92. Zbl0484.14005MR644817
  3. [H] HARTSHORNE R. _ Varieties of small codimension in projective space, Bull. A.M.S. 80 ( 1974), 1017-1032. Zbl0304.14005MR384816
  4. [K] KLINE, M. _ Mathematical Thought From Ancient to Modern Times, Oxford University Press, 1972, 1211p. Zbl0277.01001MR472307
  5. [L1] LANDSBERG J.M. _ On second fundamental forms of projective varieties, Invent. Math. 117 ( 1994), 303-315. Zbl0840.14025MR1273267
  6. [L2] LANDSBERG J.M. _ Differential-geometric charactericharacterizations of complete intersections, To appear in Journal of Differential Geometry, (alg-geom/9407002 eprint). Zbl0873.53007MR1420349
  7. [L3] LANDSBERG J.M. _ On Degenerate Secant and Tangential Varieties and Local Differential Geometry, Preprint available, alg-geom 9412012. Zbl0879.14025MR1422359
  8. [LV] LAZARSFELD R. and VAN DE VEN A. _ Topics in the Geometry of Projective Space, Recent Work of F.L. Zak DMV Seminar, 1984, Birkhauser. Zbl0564.14007MR808175
  9. [L'v] L' VOVSKY S. _ On Landsberg's criterion for complete intersections, alg-geom 9408006. Zbl0861.14043
  10. [R] RAN Z. _ On Projective Varieties of Codimension 2, Invent Math. 731 ( 1983), 333-336. Zbl0521.14018MR714095
  11. [R1] ROS A. _ A characterization of seven compact Kaehler submanifolds by holomorphic pinching, Annals of Math. 121 ( 1985), 377-382. Zbl0589.53065MR786353
  12. [R2] ROS A. _ On spectral geometry of Kaehler manifolds, J. Math. Soc. Japan 36 ( 1984), 433-448. Zbl0546.53035MR746704
  13. [Z] ZAK F.L. _ Tangents and Secants of Algebraic Varieties, AMS Translations of mathematical monographs, 127, 1993. Zbl0795.14018MR1234494

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