On degenerate secant and tangential varieties and local differential geometry
J. M. Landsberg
Source: Duke Math. J. Volume 85, Number 3
(1996), 605-634.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077243444
Mathematical Reviews number (MathSciNet): MR1422359
Zentralblatt MATH identifier: 0879.14025
Digital Object Identifier: doi:10.1215/S0012-7094-96-08523-3
References
[D] L. Degoli, Due nouvi teoremi sui sistemi lineari di quadriche a Jacobiana identicamente nulla, Collect. Math 35 (1984), 125–139.
[FSB] L. Ein and N. Shepherd-Barron, Some special Cremona transformations, Amer. J. Math. 111 (1989), no. 5, 783–800.
Mathematical Reviews (MathSciNet): MR90j:14015
Zentralblatt MATH: 0708.14009
Digital Object Identifier: doi:10.2307/2374881
JSTOR: links.jstor.org
[F] B. Fantechi, On the superadditivity of secant defects, Bull. Soc. Math. France 118 (1990), no. 1, 85–100.
Mathematical Reviews (MathSciNet): MR92c:14049
Zentralblatt MATH: 0727.14029
[FL] W. Fulton and R. Lazarsfeld, Connectivity and its applications in algebraic geometry, Algebraic geometry (Chicago, Ill., 1980), Lecture Notes in Math., vol. 862, Springer, Berlin, 1981, pp. 26–92.
Mathematical Reviews (MathSciNet): MR83i:14002
Zentralblatt MATH: 0484.14005
[GH] P. Griffiths and J. Harris, Algebraic geometry and local differential geometry, Ann. Sci. École Norm. Sup. (4) 12 (1979), no. 3, 355–452.
Mathematical Reviews (MathSciNet): MR81k:53004
Zentralblatt MATH: 0426.14019
[Ht] R. Hartshorne, Varieties of small codimension in projective space, Bull. Amer. Math. Soc. 80 (1974), 1017–1032.
Mathematical Reviews (MathSciNet): MR52:5688
Zentralblatt MATH: 0304.14005
Digital Object Identifier: doi:10.1090/S0002-9904-1974-13612-8
Project Euclid: euclid.bams/1183535999
[Hv] F. R. Harvey, Spinors and calibrations, Perspectives in Mathematics, vol. 9, Academic Press Inc., Boston, MA, 1990.
Mathematical Reviews (MathSciNet): MR91e:53056
Zentralblatt MATH: 0694.53002
[K] H. Kaji, On the homogeneous projective varieties with degenerate secants, preprint.
Mathematical Reviews (MathSciNet): MR1621761
Zentralblatt MATH: 0905.14031
Digital Object Identifier: doi:10.1090/S0002-9947-99-02378-8
JSTOR: links.jstor.org
[L1] J. M. Landsberg, On second fundamental forms of projective varieties, Invent. Math. 117 (1994), no. 2, 303–315.
Mathematical Reviews (MathSciNet): MR95g:14057
Zentralblatt MATH: 0840.14025
Digital Object Identifier: doi:10.1007/BF01232243
[L2] J. M. Landsberg, Differential-geometric characterizations of complete intersections, to appear in J. Differential Geom. 44, 1996.
Mathematical Reviews (MathSciNet): MR1420349
Zentralblatt MATH: 0873.53007
Project Euclid: euclid.jdg/1214458739
[LM] H. B. Lawson and M. Michelsohn, Spin geometry, Princeton Mathematical Series, vol. 38, Princeton University Press, Princeton, NJ, 1989.
Mathematical Reviews (MathSciNet): MR91g:53001
Zentralblatt MATH: 0688.57001
[LV] R. Lazarsfeld and A. Van de Ven, Topics in the geometry of projective space, DMV Seminar, vol. 4, Birkhäuser Verlag, Basel, 1984.
Mathematical Reviews (MathSciNet): MR87e:14045
Zentralblatt MATH: 0564.14007
[R] J. Roberts, Generic projections of algebraic varieties, Amer. J. Math. 93 (1971), 191–214.
Mathematical Reviews (MathSciNet): MR43:3263
Zentralblatt MATH: 0212.53801
Digital Object Identifier: doi:10.2307/2373457
JSTOR: links.jstor.org
[T] A. Terracini, Alcune questioni sugli spazi tangenti e osculatori ad una varieta, I, II, III, Atti Della Societa dei Naturalisti e Matematici (1913), 214–247.
[Z1] F. L. Zak, Tangents and secants of algebraic varieties, Translations of Mathematical Monographs, vol. 127, American Mathematical Society, Providence, RI, 1993.
Mathematical Reviews (MathSciNet): MR94i:14053
Zentralblatt MATH: 0795.14018
[Z2] F. L. Zak, Linear systems of hyperplane sections of varieties of low codimension, Functional Anal. Appl. 19 (1985), 165–173.
Zentralblatt MATH: 0577.14032
Mathematical Reviews (MathSciNet): MR806846
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