Hodge-gaussian maps

Elisabetta Colombo; Gian Pietro Pirola; Alfonso Tortora

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2001)

  • Volume: 30, Issue: 1, page 125-146
  • ISSN: 0391-173X

How to cite

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Colombo, Elisabetta, Pirola, Gian Pietro, and Tortora, Alfonso. "Hodge-gaussian maps." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 30.1 (2001): 125-146. <http://eudml.org/doc/84433>.

@article{Colombo2001,
author = {Colombo, Elisabetta, Pirola, Gian Pietro, Tortora, Alfonso},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {variations of Hodge structures; higher differentials of the period map; Hodge-Gaussian maps; vector bundle; Wahl map},
language = {eng},
number = {1},
pages = {125-146},
publisher = {Scuola normale superiore},
title = {Hodge-gaussian maps},
url = {http://eudml.org/doc/84433},
volume = {30},
year = {2001},
}

TY - JOUR
AU - Colombo, Elisabetta
AU - Pirola, Gian Pietro
AU - Tortora, Alfonso
TI - Hodge-gaussian maps
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2001
PB - Scuola normale superiore
VL - 30
IS - 1
SP - 125
EP - 146
LA - eng
KW - variations of Hodge structures; higher differentials of the period map; Hodge-Gaussian maps; vector bundle; Wahl map
UR - http://eudml.org/doc/84433
ER -

References

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  1. [1] J. Carlson - M. Green - P. Griffiths - J. Harris, Infinitesimal variations of Hodge structure (I), Compositio Math.50 (1983), 109-205. Zbl0531.14006MR720288
  2. [2] P. Deligne - P. Griffiths - J. Morgan - D. Sullivan, Real homotopy theory on Kähler manifolds, Invent. Math.29 (1975), 245-274. Zbl0312.55011MR382702
  3. [3] M. Green, Infinitesimal Methods in Hodge Theory,, In: "Algebraic cycles and Hodge theory", A. Albano et al. (eds.), Lecture Notes in Math., vol. 1594 (1994), pp. 1-92. Zbl0846.14001MR1335239
  4. [4] P. Griffiths, Infinitesimal variations of Hodge structure (III), Compositio Math.50 (1983), 267-324. Zbl0576.14009MR720290
  5. [5] P. Griffiths - J. Harris, "Principles of algebraic geometry", New York, John Wiley, 1978. Zbl0408.14001MR507725
  6. [6] P. Griffiths - J. Harris, Algebraic geometry and local differential geometry, Ann. Sci. Ècole Norm. Sup. (4) 12 (1979), 355-432. Zbl0426.14019MR559347
  7. [7] Y. Karpishpan, On higher-order differentials of the period map, Duke Math. J.72 (1993), 541-571. Zbl0837.14027MR1253615
  8. [8] J. Landsberg, On second fundamental form of projective varieties, Invent. Math.117 (1994), 303-315. Zbl0840.14025MR1273267
  9. [9] R. Paoletti, Generalized Wahl maps and adjoint line bundles on a general curve, Pacific J. Math.168 (1995), 313-334. Zbl0838.14026MR1339955
  10. [10] G.P. Pirola, The infinitesimal variation of the spin abelian differentials and periodic minimal surfaces, Comm. Anal. Geom.6 (1998), 393-426. Zbl0914.58007MR1638858
  11. [11] E. Sernesi, "Topics on Families of Projective Schemes", Queen's Papers no. 73, Kingston Ontario, 1986. MR869062
  12. [12] C. Simpson, Higgs bundles and local systems, Inst. Hautes Études Sci. Publ. Math.75 (1992), 5-95. Zbl0814.32003MR1179076
  13. [13] J. Wahl, Gaussian maps on algebraic curves, J. Differential Geom.32 (1990), 77-98. Zbl0724.14022MR1064866

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