Publications

• Publications in Math. Reviews
• Publications in MathzB
  

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• Books
• Quadratic forms (with H. Sterk) 2024. 
• Period Mappings and Period Domains  (with Jim Carlson and Stefan Müller-Stach) Cambridge studies in advance mathematics vol.  168, Second Edition (2017), ibid. 85 First edition (2003), Cambridge University Press, Cambridge.  Further information available here
• Lectures on the Theory of Pure Motives (with Jacob Murre and Jan Nagel) Amer. Mat. Soc., University Lecture Note Series vol. 61 (149 pp) (2013). Penultimate version here; more information.
  
• Tata Lectures on Motivic Aspects of Hodge Theory. TIFR-Lecture Notes on math. vol. 92, Narosa Publ. Company & AMS (2010)  Manuscript (revised april 2009) 150 pp. .
• Mixed Hodge Theory (with Joseph Steenbrink) Ergebnisse der Mathematik und ihrer Grenzgebiete vol.  52 Springer Verlag, Berlin etc. (2008). Further information here
• Compact Complex Surfaces, (with Wolf Barth, Klaus Hulek and Antonius Van de Ven) Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge vol. 4 (second enlarged edition), Springer Verlag, Berlin etc.(2003), first edition 1984.  Additional information here
• Notes on Mirror-Symmetry  (with José Bertin)  in Introduction to Hodge theory SMF/AMS texts and monographs, vol. 8 (1996).  See also the original french version and some more information.

• Edited Proceedings

• Algebraic Cycles and Motives, Edited by Jan Nagel Univ. de Lille, Chris Peters, Univ. Joseph Fourier, Grenoble,  London Mathematical Society Lecture Note Series vol 343 and 344,  Cambridge University Press, Cambridge, 2007
• Transcendental Aspects of Algebraic Cycles (Proceedings of the Grenoble Summer School, 2001), Edited by S. Müller-Stach and C. Peters, Cambridge University Press, Cambridge,   2004, 310 pages
• New Trends in Algebraic Geometry, Edited by K. Hulek, M. Reid, C. Peters, F. Catanese, Cambridge University Press, Cambridge, 1999, 494 pages

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• Other articles in (refereed) journals or (refereed) conference proceedings:

1. (with G. PEARLSTEIN and W. NIJGH for Appendix c) A remarkable class of elliptic surfaces of amplitude $1$  in weighted projective space, Science China Mathematics (2024).
   
2. (with G. PEARLSTEIN) Deformations and Rigidity for mixed period maps, Algebraic Geometry 11-(5) (2024) 620–675. For the published version see  https://api.algebraicgeometry.nl/Article/20654/2024-5-019.pdf
   
3.  A note on the primitive cohomology  lattice  of a projective surface, Pure and Applied Math. Q. (2022).
4. On complex surfaces with definite intersection form, New York Journal of Maths 27 (2021), 840 - 847.
5. On the maximal number of du Val singularities for a K3 surface, Geometriae Dedicata 214 (2021), 383 - 388.
6. (with H. STERK) Complete intersections of quadrics and complete intersections on Segre varieties with common specializations, Dokumenta Math. 26 (2021) 439-464.
7. A motivic study of generalized Burniat surfaces, Abhandlungen Math. Sem. Hamburg (2018).
8. On a motivic interpretation of primitive, variable and fixed cohomology, Math. Nachrichten (2018).
9. (with R. LATERVEER and J. NAGEL)  On complete intersection varieties with finite dimensional motive, Quarterly J. Math  (2018).
10. (with H. STERK) On K3 double planes covering Enriques surfaces, Math. Ann. (2018)
11. (with G. PEARLSTEIN) Differential geometry of the mixed Hodge metric, Communications in Analysis and Geometry (2018).
12. Rigidity of spreadings and fields of definition. EMS Surv. Math. Sci. 4  77–100, (2017).
13. On rigidity of locally symmetric spaces. Münster J. of Math. J. 10  277–286 , (2017).
14. (with  G. LOMBARDO and M. SCHÜTT): Abelian Fourfolds of Weil type and certain K3 Double Planes. Rendiconti sem. Mat. de l'Univ. e Polit. Torino 71 (2013) 339-384.
15. (with  V. SRINIVAS and S. MÜLLER-STACH)  Abelian varieties   and theta functions as invariants for   compact Riemannian manifolds;  constructions inspired by superstring theory.  Journal de mathématiques pures et appliquées  97 (2012) (pdf); see also the video  presentation on the occasion of Alberto Contes 70th birthday.
16. (with   Morihiko SAITO)  Lowest Weights in Cohomology of Variations of Hodge Structure.  Nagoya Math. J. 206 (2012), 1-24. Here for the complete version and here arxiv:0708.0130v2   for a first version.
    
17.  Bloch-type conjectures and an example of a threefold of general type.  Contemporary Mathematics 12  (2010) 587-605.
18. (with F. GALLUZZI et G. LOMBARDO) Automorphs of indefinite  binary  quadratic forms  and   K3-surfaces with Picard number 2.  Rendiconti Mat. Torino, 68 (2010) 57-77, preprint ArXiv mathAG/0804.0725
19. (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).
20. (with J. STEENBRINK) Hodge Number Polynomials for Nearby and Vanishing Cohomology,  pp. 597-611  (2006)  in Algebraic Cycles and Motives. Also as preprint available.
21. (with J. STEENBRINK) Monodromy of variations of Hodge structure, Acta Applicanda Math. 75 (2003) 183-194.
22. (with J. STEENBRINK) Degeneration of the Leray spectral sequence for certain geometric quotients math. AG/0112093 Moscou Math. Journal  3 (2003) 1-11.
23.  Lawson homology for varieties with small Chow groups and the induced filtration of the Griffiths group, Math. Zeitschrift 234 (2000) 209-223 (pdf)
24. (with U. PERSSON, X, GIAO),  Geography of Spin surfaces, Topology 35  (1996) 845--862.  (publised version)
25. (with U. PERSSON) Some aspects of the topology of algebraic surfaces. In: Israel Mathematical Conference Proceedings (IMCP) AMS (1995).
26. (with U. PERSSON) Homeomorphic non-diffeomorphic surfaces with small invariants. Manuscripta Math.  79  (1993) 173-182.
27. (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.
28. 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).
29. Rigidity for variations of Hodge structure and Arakelov-type finiteness theorems, Comp. Math. 75, 113--126 (1990).
30. (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. 
31. Some remarks on Reider's article  "On  the infinitesimal  Torelli  theorem for certain irregular surfaces", Math. Ann. 281, 315--324 (1988).
32. On Arakelov's finiteness theorem for higher dimensional varieties.  Rend. Sem. Mat. Univ. Politec. Torino, 1986.
33. Monodromy and Picard-Fuchs equations for families of K3-surfaces and elliptic curves, Ann. ENS. 19 (1986) 583--607.
34. 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.
35. A criterion for flatness of Hodge bundles over curves and geometric applications, Math. Ann. 268 (1984) 1-19.
36. (with  F. BEUKERS) A family of K3-surfaces and  ζ(3), J. für reine u. angew. Math.  351  (1984) 42-54.
37. (with  W. BARTH) Automorphisms of Enriques surfaces, Inv. Math.  73  (1983)  383-411.
    
38. (with F. OORT) A Campedelli surface with torsion group Z/ 2Z , Indag. Math.  3  (1981) 399-407.
39. (with  E. LOOIJENGA) Torelli theorems of Kähler K3-surfaces, Comp. Math.  42  (1981) 145-186.
40. On automorphisms of compact Kähler surfaces,  in Journées de géométrie algébrique d'Angers (juillet 1979) Sijthoff-Noordhoff (1980) 249-267.
41. Holomorphic automorphisms of compact Kähler surfaces and their induced  actions in cohomology, Inv. Math.  52  (1979) 143-148.
    
42. (with D. LIEBERMAN, R. WILSKER) A theorem of local Torelli-type, Math. Ann.   231  (1977) 39-45.
    
43. On certain examples of surfaces with  p_g =0 due to Burniat, Nagoya Math. J., 66  (1977) 109-119.
44.  On two types of surfaces with vanishing geometric genus, Inv. Math. 32 (1976) 33--47. 
45.  (with  J. SIMONIS) A secant formula, Quart. J. math.  27  (1976) 182--189.
46.  The local Torelli theorem II, Cyclic branched coverings, Ann. Sc. Norm. Pisa, Cl. Sc. Ser IV, II (1976) 321-339.
47. The local Torelli theorem I,  Complete intersections, Math. Ann 217  (1974), 1-16.

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Other articles in (refereed) journals or (refereed) conference proceedings:

1. Rigidity, past and present,  Proceedings of Teichmueller Theory and Moduli Problems (held at HRI, India in January 2006), Ramanujan Mathematical Society's Lecture Notes Series  10 (2010) 529--548.
2. (With S. KOSAREW)  Introduction to Lawson homology, in Transcendental Aspects of Algebraic Cycles , 44-71 ().
3. (with J. BERTIN) Variation de structure de Hodge et symétrie miroir,  Panoramas et Synthèse 3 (1996) pp. 169-256.
4. Introduction to the theory of compact complex surfaces, in Proc. Topology Conference Halifax 1990, Canadian Math. Soc. Conf. Proc. 12  1992 129-156.
5. K3-surfaces and Enriques surfaces: highlights from two decades, in Proc.  Cortona Conference, 1988, Symp. Math. Vol XXXII, 259-270 (1991).
6. Curvature for period domains, in    Proc. Sundance Conference 1989, Proc. Symp. Pure Math. Vol 53 A.M.S. (1991).
7. Algebraic Fermi Curves (after Gieseker, Trubowitz and Knörrer), Sém. Bourbaki, 42 ème année, 1989/90, n°  723, mars 1990