Publications
- Publications
in Math. Reviews
- Publications
in MathzB
- Books
- 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
- 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
- Other articles in (refereed)
journals or (refereed) conference proceedings:
- The local Torelli
theorem I, Complete
intersections, Math. Ann 217 (1974), 1-16.
- The local Torelli
theorem II, Cyclic branched coverings, Ann. Sc.
Norm. Pisa, Cl. Sc. Ser IV, II (1976) 321-339.
- (with J. SIMONIS) A secant formula,
Quart. J. math. 27 (1976) 182--189.
- On two types of
surfaces with vanishing geometric genus, Inv.
Math. 32 (1976) 33--47.
- On certain examples of surfaces with pg =0 due to Burniat,
Nagoya Math. J., 66 (1977) 109-119.
- (with D. LIEBERMAN, R. WILSKER) A theorem of local
Torelli-type, Math. Ann. 231
(1977) 39-45.
- Holomorphic
automorphisms of compact Kähler surfaces and their
induced actions in cohomology, Inv. Math.
52 (1979) 143-148.
- On automorphisms of compact Kähler surfaces,
in Journées de géométrie algébrique d'Angers
(juillet 1979) Sijthoff-Noordhoff (1980) 249-267.
- (with E. LOOIJENGA) Torelli theorems of Kähler
K3-surfaces, Comp. Math. 42
(1981) 145-186.
- (with F. OORT) A
Campedelli surface with torsion group Z/
2Z
, Indag. Math. 3 (1981) 399-407.
- (with W. BARTH) Automorphisms of Enriques
surfaces, Inv. Math. 73
(1983) 383-411.
- (with F. BEUKERS) A family of K3-surfaces and
ζ(3), J. für reine u. angew. Math. 351
(1984) 42-54.
- A criterion for
flatness of Hodge bundles over curves and geometric
applications, Math. Ann. 268
(1984) 1-19.
- 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.
- Monodromy and
Picard-Fuchs equations for families of K3-surfaces and
elliptic curves, Ann. ENS. 19 (1986)
583--607.
- On Arakelov's finiteness theorem for higher
dimensional varieties. Rend. Sem. Mat. Univ.
Politec. Torino, 1986.
- Some remarks on
Reider's article "On the infinitesimal
Torelli theorem for certain irregular surfaces",
Math. Ann. 281, 315--324 (1988).
- (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.
- Rigidity for
variations of Hodge structure and Arakelov-type finiteness
theorems, Comp. Math. 75, 113--126
(1990).
- 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).
- (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.
- (With U. PERSSON) Homeomorphic
non-diffeomorphic surfaces with small invariants.
Manuscripta Math. 79 (1993) 173-182.
- (With U. PERSSON) Some aspects of the topology
of algebraic surfaces. In: Israel Mathematical Conference
Proceedings (IMCP) AMS (1995).
- (With U. PERSSON, X, GIAO), Geography of Spin surfaces,
Topology 35
(1996) 845--862.
(publised version)
- Lawson homology for
varieties with small Chow groups and the induced filtration
of the Griffiths group, Math. Zeitschrift 234 (2000) 209-223 (pdf)
- With J. STEENBRINK) Degeneration
of the Leray spectral sequence for certain geometric
quotients math. AG/0112093 Moscou Math. Journal
3 (2003) 1-11.
- (With J. STEENBRINK) Monodromy of variations of
Hodge structure, Acta Applicanda Math. 75
(2003) 183-194.
- (With J. STEENBRINK) Hodge
Number Polynomials for Nearby and Vanishing Cohomology,
pp. 597-611 (2006) in Algebraic Cycles and
Motives. Also as preprint
available.
- (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).
- (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
- Bloch-type conjectures and
an example of a threefold of general type. Contemporary
Mathematics 12 (2010) 587-605.
- (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.
- (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.
- (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.
- Inequalities
for semi-stable fibrations on surfaces, and their relation
with the Coleman-Oort conjecture,
Pure and Applied Math. Q. 12 1-30, (2016)
- On
rigidity of locally symmetric spaces. Münster J.
of Math. J. 10 277–286
, (2017).
- Rigidity
of spreadings and fields of definition. EMS Surv. Math.
Sci. 4 77–100, (2017).
- (with G. PEARLSTEIN) Differential geometry of
the mixed Hodge metric, Communications in Analysis
and Geometry (2018).
- (with H. STERK) On K3
double planes covering Enriques surfaces, Math. Ann.
(2018)
- (with R. LATERVEER and J. NAGEL) On complete intersection varieties
with finite dimensional motive, Quarterly J. Math
(2018)
- On a motivic
interpretation of primitive, variable and fixed cohomology,
Math. Nachrichten (2018)
- A motivic study
of generalized Burniat surfaces, Abhandlungen Math. Sem.
Hamburg (2018)
- (with H. STERK) Complete
intersections of quadrics and complete intersections on
Segre varieties with common specializations, Dokumenta
Math. 26 (2021)
439-464.
- On the maximal number of du Val
singularities for a K3 surface, Geometriae Dedicata 214
(2021),
383 - 388.
- On
complex surfaces with definite intersection form, New
York Journal of Maths 27 (2021), 840 - 847.
- A note on the primitive
cohomology lattice of a projective surface,
Pure and Applied Math. Q.(2022).
- (with G. PEARLSTEIN) Deformations and Rigidity for
mixed period maps, Algebraic Geometry (2024).
Survey articles
- On the local Torelli theorem, a review of known
results, Springer Lect. Notes Math. 683
(1978).
- (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.
- Algebraic
Fermi Curves (after Gieseker, Trubowitz and Knörrer),
Sém. Bourbaki, 42 ème année, 1989/90, n° 723,
mars 1990.
- Curvature for period domains, in
Proc. Sundance Conference 1989, Proc. Symp. Pure Math.
Vol 53 A.M.S. (1991).
- K3-surfaces and Enriques surfaces: highlights
from two decades, in Proc. Cortona Conference,
1988, Symp. Math. Vol XXXII, 259-270 (1991).
- Introduction
to the theory of compact complex surfaces, in
Proc. Topology Conference Halifax 1990, Canadian Math. Soc.
Conf. Proc. 12 1992 129-156.
- (with J. BERTIN) Variation de
structure de Hodge et symétrie miroir,
Panoramas et Synthèse 3 (1996) pp. 169-256.
- (With S. KOSAREW) Introduction to Lawson
homology, in Transcendental Aspects of
Algebraic Cycles , 44-71 (2004).
- 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.