D. Allcock, J. Carlson and D. Toledo, The complex hyperbolic geometry of the moduli space of cubic surfaces, J. Alg. Geom. 11 (2002), no. 4, 659-724.
D. Allcock, J. Carlson and D. Toledo, The Moduli Space of Cubic Threefolds as a Ball Quotient, Mem. Amer. Math. Soc. 209 (2011), no. 985, xii+70.
A. Beauville, Moduli of cubic surfaces and Hodge theory (after Allcock, Carlson, Toledo), G_eom_etriesa courbure negative ou nulle, groupes discrets et rigidit_es, S_eminaires et Congres 18 Soc. Math. France, Paris, 2009.
C. H. Clemens, Degenerations of Kahler manifolds, Duke Math J. 44 (1977), no. 2, 215--290.
C. H. Clemens, Geometry of formal Kuranishi theory, Adv. Math. 198 (2005), no. 1, 311--365.
P. Deligne, Th_eorie de Hodge II, Publ. Math. IHES 40 (1971) 5--57.
P. Deligne and G. W. Mostow, Monodromy of hypergeometric functions and nonlattice integral monodromy, Publ. Math. IHES 63 (1972) 5--89.
I. V. Dolgachev and S. Kondo, Moduli of K3 surfaces and complex ball quotients, Arithmetic and Geometry Around
Hypergeometric Functions, Progress in Mathematics 260, 2007, pp. 43-100.
P. Griffiths, Periods of integrals on algebraic manifolds I, Construction and properties of the modular varieties, Amer. J. Math. 90 (1968) 568--626.
P. Griffiths, Periods of integrals on algebraic manifolds II, Amer. J. Math. 90 (1968) 805--865.
P. Griffiths, On the Periods of Certain Rational Integrals: I, II, Ann. of Math. (2) 90 (1969), no. 2, 460--495 and 496--541.
P. Griffiths, Periods of integrals on algebraic manifolds, III, Some global differential-geometric properties of the period mapping, Publ. Math. IHES 38 (1970) 125--180.
P. Griffiths, Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems, Bull. Amer. Math. Soc. 76 (1970), no.2, 228--296.
P. Griffiths, Topics in transcendental algebraic geometry, Proceedings of a seminar held at the Institute for Advanced
Study, Princeton, N.J., during the academic year 1981/1982. Edited by Phillip Griffiths, Annals of Mathematics
Studies, 106. Princeton University Press, Princeton, NJ, 1984.
P. Griffiths and W. Schmid, Locally homogeneous complex manifolds, Acta Math. 123 (1969) 253--302.
P. Griffiths and W. Schmid, Recent developments in Hodge theory: a discussion of techniques and results, Discrete
subgroups of Lie groups and applicatons to moduli (Internat. Colloq., Bombay, 1973), pp. 31--127. Oxford Univ. Press, Bombay, 1975.
P. Griffiths and J. Wolf, Complete maps and differentiable coverings, Michigan Math. J. 10 (1963) 253--255.
K. Kodaira and D. C. Spencer, On Deformations of Complex Analytic Structures, III, Ann. of Math. (2) 71 (1960) 43--76.
K. Liu, S. Rao and X. Yang, Quasi-isometry and deformations of CalabiYau manifolds, Invent. Math. 199 (2015),
no. 2, 423--453.
K. Liu and Y. Shen, Global Torelli theorem for projective manifolds of Calabi--Yau type, arXiv:1205.4207, (2012).
K. Liu and Y. Shen, Simultaneous normalization of period map and affine structures on moduli spaces, arXiv:1910.06767, (2019).
K. Liu and Y. Shen, From local Torelli to global Torelli, arXiv: 1512.08384, (2015).
K. Liu and Y. Shen, Moduli spaces as ball quotients I, local theory. preprint.
W. Schmid, Variation of Hodge structure: the singularities of the period mapping, Invent. Math. 22 (1973) 211--319.
A. Sommese, On the rationality of the period mapping, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 5 (1978), no. 4, 683--717.
B. Szendroi, Some finiteness results for Calabi-Yau threefolds, J. London Math. Soc. (2) 60 (1999), no. 3, 689--699.
G. Tian, Smoothness of the universal deformation space of compact Calabi--Yau manifolds and its PeterssonWeil metric, Mathematical aspects of string theory, In: Adv. Ser. Math. Phys., 1, World Sci. Publishing, Singapore, 1987, pp. 629-646.
A. Todorov, The Weil-Petersson geometry of the moduli space of SU(n_3) (Calabi-Yau) manifolds. I, Commun. Math. Phys. 126 (1989), no. 2, 325--346.