LIST of publications (2009)


  1. The local Torelli theorem of some cyclic branched coverings, proefschrift, Meppel 1974.  
  2. The local Torelli theorem I,  Complete intersections, Math. Ann 217  (1974), 1-16.
  3.  The local Torelli theorem II, Cyclic branched coverings, Ann. Sc. Norm. Pisa, Cl. Sc. Ser IV, II (1976) 321-339.
  4.  (with  J. SIMONIS) A secant formula, Quart. J. math.  27  (1976) 182--189.  
  5.  On two types of surfaces with vanishing geometric genus, Inv. Math. 32 (1976) 33--47.
  6.  On certain examples of surfaces with  pg =0 due to Burniat, Nagoya Math. J., 66  (1977) 109-119.
  7.  (with D. LIEBERMAN, R. WILSKER) A theorem of local Torelli-type, Math. Ann.   231  (1977) 39-45.
  8.  On the local Torelli theorem, a review of known results, Springer Lect. Notes Math.  683  (1978).
  9.  Holomorphic automorphisms of compact Kähler surfaces and their induced  actions in cohomology, Inv. Math.  52  (1979) 143-148.
  10.  On automorphisms of compact Kähler surfaces,  in Journées de géométrie algébrique d'Angers (juillet 1979) Sijthoff-Noordhoff (1980) 249-267.
  11. (with  E. LOOIJENGA) Torelli theorems of Kähler K3-surfaces, Comp. Math.  42  (1981) 145-186.
  12. (with F. OORT) A Campedelli surface with torsion group Z/ 2Z , Indag. Math.  3  (1981) 399-407.
  13. (with  J. STEENBRINK) Infinitesimal variations of Hodge structure and the  generic Torelli problem for projective hypersurfaces, in   Classification of algebraic and analytic manifolds, Birkh. Verlag (1983) 399-463.
  14. (with  W. BARTH) Automorphisms of Enriques surfaces, Inv. Math.  73  (1983)  383-411.
  15. (with  F. BEUKERS) A family of K3-surfaces and  ζ(3), J. für reine u. angew. Math.  351  (1984) 42-54.
  16. A criterion for flatness of Hodge bundles over curves and geometric applications, Math. Ann. 268  (1984) 1-19.
  17. Some applications of the Lefschetz fixed point theorems in (complex) algebraic geometry, in  The Lefschetz Centennial Conference, I: Proc. Alg. geometry, Cont. Math.  58 (part 1) (1985) AMS, Providence, R.I., p.213--221.
  18. Monodromy and Picard-Fuchs equations for families of K3-surfaces and elliptic curves, Ann. ENS. 19 (1986) 583--607.
  19. On Arakelov's finiteness theorem for higher dimensional varieties.  Rend. Sem. Mat. Univ. Politec. Torino, 1986.
  20. Some remarks on Reider's article  "On  the infinitesimal  Torelli  theorem for certain irregular surfaces", Math. Ann. 281, 315--324 (1988).
  21. (With J.  STIENSTRA) A pencil of K3-surfaces related to Apéry's recurrence for ζ(3) and Fermi surfaces for potential zero.  Arithmetic of Complex Manifolds, Proc. Erlangen 1988, Springer Lect. Notes Math.  1399, pp. 110-127, 1989.
  22. Algebraic Fermi Curves (after Gieseker, Trubowitz and Knörrer), Sém. Bourbaki, 42 ème année, 1989/90, n°  723, mars 1990.
  23. Rigidity for variations of Hodge structure and Arakelov-type finiteness theorems, Comp. Math. 75, 113--126 (1990).
  24. Curvature for period domains, in    Proc. Sundance Conference 1989, Proc. Symp. Pure Math. Vol 53 A.M.S. (1991).
  25. K3-surfaces and Enriques surfaces: highlights from two decades, in Proc.  Cortona Conference, 1988, Symp. Math. Vol XXXII, 259-270 (1991).
  26. Maximal rank non-rigid variations of Hodge structure of weight one and two, in   Complex algebraic varieties. Proc. Bayreuth 1990, Springer Lecture Notes 1507, 157-162, Berlin etc., Springer Verlag (1992).
  27. Introduction to the theory of compact complex surfaces, in Proc. Topology Conference Halifax 1990, Canadian Math. Soc. Conf. Proc. 12  1992 129-156.
  28. (with  J. TOP, M. van der VLUGT) The Hasse zeta function of a K3 surface related to the number of words of weight 5 in the Melas codes.  J. reine angew. Math.  432  (1992) 151-176.
  29. (With U. PERSSON) Homeomorphic non-diffeomorphic surfaces with small invariants. Manuscripta Math.  79  (1993) 173-182.
  30. (With U. PERSSON) Some aspects of the topology of algebraic surfaces. In: Israel Mathematical Conference Proceedings (IMCP) AMS (1995).
  31. (With U. PERSSON et XIAO Gang) Geography of spin surfaces. Topology 35  (1996) 845--862.
  32. (with J. BERTIN) Variation de structure de Hodge et symétrie miroir,  Panoramas et Synthèse 3 (1996) pp. 169-256.
  33. Lawson homology for varieties with small Chow groups, Math. Z.  234 (2000) 209-223.
  34. Arakelov-type inequalities for Hodge bundles, prépublication de l'Institut Fourier  511  (2000). See also ArXiv mathAG0007102  
  35. (With J. STEENBRINK) Degeneration of the Leray spectral sequence for certain geometric quotients math. AG/0112093 Moscou Math. Journal  3 (2003) 1-11.
  36. (With J. STEENBRINK) Monodromy of variations of Hodge structure, Acta Applicanda Math. 75 (2003) 183-194 .
  37. (With S. KOSAREW)  Introduction to Lawson theory, in Transcendental Aspects of Algebraic Cycles , 44-71 (2004).
  38. (With J. STEENBRINK) Hodge Number Polynomials for Nearby and Vanishing Cohomology,  pp. 597-611  (2006)  in Algebraic Cycles and Motives.
  39.   (With  J. STEENBRINK) Hodge Theory: the search for purity, in Proceedings of the Trieste Singularity Summer School and Workshop ICTP, Trieste, Italy    15 August - 3 September 2005, edited by Jean-Paul Brasselet, World Scientific, Singapore etc., 556--583 (2007).
  40.  (WITH  Morihiko SAITO)  Lowest Weights in Cohomology of Variations of Hodge Structure.  Preprint (2007). See also ArXiv AG/0708.0130. To appear in Nagoya Math. J.
  41.  (With Federica GALLUZZI et Guiseppe LOMBARDO) Automorphs of indefinite  binary  quadratic forms  and   K3-surfaces with Picard number 2. To appear in Rend. Mat. Univ. Torino, preprint ArXiv mathAG/0804.0725
  42. Rigidity, past and present,   to appear in the Proceedings of Teichmueller Theory and Moduli Problems (held at HRI, India in January 2006), Ramanujan Mathematical Society's Lecture Notes Series
  43. Bloch-type conjectures and an example of a threefold of general type. Preprint here. To appear in Communications in Contemporary Mathematics. 
  44. Abelian varieties   and theta functions as invariants for   compact Riemannian manifolds;  constructions inspired by superstring theory.

Monographs

  1. (With W. BARTH, A. VAN DE VEN)  Compact complex surfaces, Erg.Math., 3. Folge Band  4, 304+X pag., Springer Verlag (1984).
  2. (With W. BARTH, K. HULEK, A. VAN DE VEN) Compact complex surfaces, Second Enlarged Edition, Erg.Math., 3. Folge Band 4, 433+X pag., Springer Verlag (2003).  
  3. (With J. CARLSON et S. MÜLLER-STACH) Period Mappings and Period Domains. Cambridge University Press. Cambridge Studies in advanced mathematics 85, 430 pp. (2003).
  4. (With  J. STEENBRINK)  Mixed Hodge Theory  Ergebnisse Math., Springer Verlag, 52.  470 pp. (2008)
  5. Tata Lectures on Motivic Aspects of Hodge Theory.  Manuscript  (revised april 2009) 116 pp. Accepted for publication by TIFR.

Other publications

  1. (with  F. CATANESE, K. HULEK et M. REID) New Trends in Algebraic Geometry, Lond. Math. Soc. Lect. Notes Series 264 Cambridge University Press, 484 pp (1999)
  2. (with S. MÜLLER-STACH)  Transcendental Aspects of Algebraic Cycles, Proceedings of  Grenoble Summer School, 2001, Lond. Math. Soc. Lect. Notes Series 313, 310 pp (2004).
  3. (with J. NAGEL) Algebraic Cycles and Motives,  Proceedings of the Annual EAGER Conference  And Workshop On the Occasion of  J. Murre's 75--th Birthday August 30-- September 3, 2004, Leiden University, the Netherlands,  Lond. Math. Soc. Lect. Notes  Cambridge University Press  Series  343  and  344  2007.