Infinitesimal variations of hodge structure (II) : an infinitesimal invariant of hodge classes

Phillip Griffiths; Joe Harris

Compositio Mathematica (1983)

  • Volume: 50, Issue: 2-3, page 207-265
  • ISSN: 0010-437X

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Griffiths, Phillip, and Harris, Joe. "Infinitesimal variations of hodge structure (II) : an infinitesimal invariant of hodge classes." Compositio Mathematica 50.2-3 (1983): 207-265. <http://eudml.org/doc/89625>.

@article{Griffiths1983,
author = {Griffiths, Phillip, Harris, Joe},
journal = {Compositio Mathematica},
keywords = {Hodge conjecture; Torelli problem; Bloch semiregularity; infinitesimal variation of Hodge structure},
language = {eng},
number = {2-3},
pages = {207-265},
publisher = {Martinus Nijhoff Publishers},
title = {Infinitesimal variations of hodge structure (II) : an infinitesimal invariant of hodge classes},
url = {http://eudml.org/doc/89625},
volume = {50},
year = {1983},
}

TY - JOUR
AU - Griffiths, Phillip
AU - Harris, Joe
TI - Infinitesimal variations of hodge structure (II) : an infinitesimal invariant of hodge classes
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 50
IS - 2-3
SP - 207
EP - 265
LA - eng
KW - Hodge conjecture; Torelli problem; Bloch semiregularity; infinitesimal variation of Hodge structure
UR - http://eudml.org/doc/89625
ER -

References

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  1. [1] E. Arbarello, M. Cornalba, P. Griffiths, and J. Harris: Topics in the theory of algebraic curves, (to appear). Zbl0559.14017
  2. [2] S. Bloch; Semi-regularity and deRham cohomology. Invent. Math.17 (1972) 51-66. Zbl0254.14011MR325613
  3. [3] J. Carlson, M. Green, P. Griffiths, and J. Harris: Infinitesimal Variation of Hodge Structure (I), Comp. Math.50 (1983) 109-205. Zbl0531.14006MR720288
  4. [4] J. Carlson and P. Griffiths.Infinitesimal variations of Hodge structure and the global Torelli problem. Journees de geometrie algebrique d'Angers, Sijthoff and Nordhoff (1980) 51-76. Zbl0479.14007MR605336
  5. [5] R. Donagi; The generic Torelli theorem for most hypersurfaces. Comp. Math.50 (1983) 325-353. Zbl0598.14007MR720291
  6. [6] P. Griffiths and J. Harris: On the variety of special lines systems on a general algebraic curve. Duke J. Math.47 (1980) 233-272. Zbl0446.14011MR563378
  7. [7] P. Griffiths and J. Harris: Principles of algebraic geometry, John Wiley (1968). Zbl0836.14001
  8. [8] J. Harris: The genus of space curves. Math. Annalen249 (1980) 191-204. Zbl0449.14006MR579101
  9. [9] J. Harris and D. Mumford: On the Kodaira dimension of the moduli space of curves. Invent. Math.67 (1982) 23-86. Zbl0506.14016MR664324
  10. [10] K. Hulek; Normal bundles of curves on a quadric. Preprint. 
  11. [11] K. Kodaira: A theorem of completeness of characteristic systems for analytic families of compact subvarieties of complex manifolds. Ann. Math.75 (1962) 146-162. Zbl0112.38404MR133841
  12. [12] D. Lieberman: On the moduli of Intermediate Jacobians. Amer. J. Math.91 (1969) 671-682. Zbl0187.18701MR257076
  13. [13] T. Shioda: The Hodge conjecture for Fermat varieties. Math. Ann.245 (1979) 175-184. Zbl0403.14007MR552586
  14. [14] T. Shioda: Algebraic cycles on abelian varieties of Fermat type. Preprint. Zbl0515.14005MR641669
  15. [15] Z. Ran: Cycles on Fermat hypersurfaces. Comp. Math.42 (1980/81) 121-142. Zbl0463.14003MR594486

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