Infinitesimal variations of hodge structure (III) : determinantal varieties and the infinitesimal invariant of normal functions

Phillip A. Griffiths

Compositio Mathematica (1983)

  • Volume: 50, Issue: 2-3, page 267-324
  • ISSN: 0010-437X

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Griffiths, Phillip A.. "Infinitesimal variations of hodge structure (III) : determinantal varieties and the infinitesimal invariant of normal functions." Compositio Mathematica 50.2-3 (1983): 267-324. <http://eudml.org/doc/89626>.

@article{Griffiths1983,
author = {Griffiths, Phillip A.},
journal = {Compositio Mathematica},
keywords = {Hodge conjecture; infinitesimal variation of; polarized Hodge structure; determinantal variety; Torelli theorem; normal function of a primitive algebraic cycle},
language = {eng},
number = {2-3},
pages = {267-324},
publisher = {Martinus Nijhoff Publishers},
title = {Infinitesimal variations of hodge structure (III) : determinantal varieties and the infinitesimal invariant of normal functions},
url = {http://eudml.org/doc/89626},
volume = {50},
year = {1983},
}

TY - JOUR
AU - Griffiths, Phillip A.
TI - Infinitesimal variations of hodge structure (III) : determinantal varieties and the infinitesimal invariant of normal functions
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 50
IS - 2-3
SP - 267
EP - 324
LA - eng
KW - Hodge conjecture; infinitesimal variation of; polarized Hodge structure; determinantal variety; Torelli theorem; normal function of a primitive algebraic cycle
UR - http://eudml.org/doc/89626
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. 
  2. [2] J. Carlson and P. Griffiths: Infinitesimal variations of Hodge structure and the global Torelli problem. Journées de géométrie algébrique d'Angers, Sijthoff and Nordhoff (1980) 51-76. Zbl0479.14007MR605336
  3. [3] F. Elzein and S. Zucker: Extendability of the Abel-Jacobi map. To appear. 
  4. [4] R. Friedman: Hodge theory, degenerations, and the global Torelli problem. Thesis, Harvard University (1981). 
  5. [5] R. Friedman and R. Smith: The generic Torelli theorem for the Prym map. Invent. Math.67 (1982) 473-490. Zbl0506.14042MR664116
  6. [6] P. Griffiths and J. Harris: Principles of Algebraic Geometry, John Wiley, 1978. Zbl0408.14001MR507725
  7. [7] P. Griffiths: A theorem concerning the differential equations satisfied by normal functions associated to algebraic cycles. Amer. J. Math.101 (1979) 94-131. Zbl0453.14001MR527828
  8. [8] P. Griffiths: Periods of certain rational integrals. Ann. Math.90 (1969) 460-541. Zbl0215.08103MR260733
  9. [9] K. Kodaira and D.C. Spencer: On a theorem of Lefschetz and the lemma of Enriques-Severi-Zariski. Proc. Nat. Acad. Sci, U.S.A.39 (1953) 1273-78. Zbl0053.11702MR68286
  10. [10] M. Kuranishi: New proof for the existence of locally complete families of complex structures. In: Proceedings of the Conference on Complex Analysis, Minneapolis1964, NY, Springer-Verlag, 1965. Zbl0144.21102MR176496
  11. [11] I. Kynev: The degree of the Prym map is equal to one. Preprint. 
  12. [12] S. Lefschetz: L'Analysis Situs et la Geometrie Algebrique, Paris, Gauthier-Villars, 1924. Zbl50.0663.01JFM50.0663.01
  13. [13] B. Saint-Donat: On Petri's analysis of the linear system of quadrics through a canonical curve. Math. Ann.206 (1973) 157-175. Zbl0315.14010MR337983
  14. [14] D.C. Spencer and M. Shiffer: Functionals on finite Riemann surfaces, Princeton Univ. Press. Zbl0059.06901
  15. [15] S. Zucker: Generalized Intermediate Jacobians and the theorem on normal functions. Invent. Math.33 (1976) 185-222. Zbl0329.14008MR412186

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