On the period map for abelian covers of projective varieties
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 26 (1998) no. 4, pp. 719-735.
@article{ASNSP_1998_4_26_4_719_0,
     author = {Pardini, Rita},
     title = {On the period map for abelian covers of projective varieties},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {719--735},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 26},
     number = {4},
     year = {1998},
     mrnumber = {1648574},
     zbl = {1040.14005},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1998_4_26_4_719_0/}
}
TY  - JOUR
AU  - Pardini, Rita
TI  - On the period map for abelian covers of projective varieties
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1998
SP  - 719
EP  - 735
VL  - 26
IS  - 4
PB  - Scuola normale superiore
UR  - http://www.numdam.org/item/ASNSP_1998_4_26_4_719_0/
LA  - en
ID  - ASNSP_1998_4_26_4_719_0
ER  - 
%0 Journal Article
%A Pardini, Rita
%T On the period map for abelian covers of projective varieties
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1998
%P 719-735
%V 26
%N 4
%I Scuola normale superiore
%U http://www.numdam.org/item/ASNSP_1998_4_26_4_719_0/
%G en
%F ASNSP_1998_4_26_4_719_0
Pardini, Rita. On the period map for abelian covers of projective varieties. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 26 (1998) no. 4, pp. 719-735. http://www.numdam.org/item/ASNSP_1998_4_26_4_719_0/

[1] D. Cox - R. Donagi - L. Tu, Variational Torelli Implies Generic Torelli, Invent. Math. 88 (1987), 439-446. | MR | Zbl

[2] J. Carlson - P. Griffiths, Infinitesimal Variations of Hodge Structure (I), Compositio Math. 50 (1983), 109-205. | Numdam | MR | Zbl

[3] R. Donagi, Generic Torelli for Projective Hypersurfaces, Compositio Math. 50 (1983), 325-353. | Numdam | MR | Zbl

[4] H. Esnault - E. Viehweg, "Lectures on Vanishing Theorems", DMV Seminar, Band 20, Birkhäuser, 1992. | MR | Zbl

[5] L. Ein - R. Lazarsfeld, Syzygies and Koszul Cohomology of Smooth Projective Varieties of Arbitrary Dimension, Invent. Math. 111 (1993), 51-67. | MR | Zbl

[6] B. Fantechi - R. Pardini, Automorphisms and Moduli Spaces of Varieties with Ample Canonical Class Via Deformations of Abelian Covers, Comm. in Algebra 25 (5) (1997), 1413-1442. | MR | Zbl

[7] H. Flenner, The Infinitesimal Torelli Problem for Zero Sets of Sections of Vector Bundles, Math. Z. 193 (1986), 307-322. | MR | Zbl

[8] M. Green - J. Murre - C. Voisin, "Algebraic Cycles and Hodge Theory", C.I.M.E. notes Torino 1993, Lecture Notes in Math. 1594 Springer, Berlin, 1993. | MR

[9] M. Green, The Period Map for Hypersurface Sections of High Degree of an Arbitrary Variety, Compositio Math. 55 (1984), 135-156. | Numdam | MR | Zbl

[10] R. Hartshorne, "Algebraic Geometry", GTM 52, Springer 1977. | MR | Zbl

[11] K. Ivinskis, A Variational Torelli Theorem for Cyclic Coverings of High Degree, Compositio Math. 85 (1993), 201-228. | Numdam | MR | Zbl

[12] K. Konno, On deformations and the local Torelli problem of cyclic coverings, Math. Ann. 271 (1985), 601-617. | MR | Zbl

[13] K. Konno, On the variational Torelli problem for complete intersections, Compositio Math. 78 (1991), 271-296. | Numdam | MR | Zbl

[14] K. Konno, Infinitesimal Torelli for complete intersections in certain homogeneous Kähler manifolds, Tohoku Math. J. 38 (1986), 609-624. | MR | Zbl

[15] D. Lieberman - R. Wilsker - C. Peters, A Theorem of Local Torelli Type, Math. Ann. 231 (1977), 39-45. | MR | Zbl

[16] R. Pardini, Abelian Covers of Algebraic Varieties, J. Reine Angew. Math. 417 (1991), 191-213. | MR | Zbl

[17] R. Pardini, Infinitesimal Torelli and Abelian Covers of Algebraic Surfaces, in "Problems in the theory of surfaces and their classification", F. Catanese, C. Ciliberto and M. Comalba (eds.), Symp. Math. INDAM XXXII, Academic Press, 1991. | MR | Zbl

[18] C. Peters, The Local Torelli Theorem II. Cyclic Branched Coverings, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 3 (1976), 321-340. | Numdam | MR | Zbl

[19] B. Schiffman - A. Sommese, Vanishing Theorems on Complex Manifolds, Progr. in Math. 56, Birkhäuser, 1985. | MR | Zbl

[20] J. Wehler, Cyclic Coverings: Deformation and Torelli Theorem, Math. Ann. 274 (1986), 443-472. | MR | Zbl