Mumford-Tate Domains
Green, Mark ; Griffiths, Phillip ; Kerr, Matt
Bollettino dell'Unione Matematica Italiana, Tome 3 (2010), p. 281-307 / Harvested from Biblioteca Digitale Italiana di Matematica
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Publié le : 2010-06-01
@article{BUMI_2010_9_3_2_281_0,
     author = {Mark Green and Phillip Griffiths and Matt Kerr},
     title = {Mumford-Tate Domains},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {3},
     year = {2010},
     pages = {281-307},
     zbl = {1208.14008},
     mrnumber = {2666359},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2010_9_3_2_281_0}
}

Green, Mark; Griffiths, Phillip; Kerr, Matt. Mumford-Tate Domains. Bollettino dell'Unione Matematica Italiana, Tome 3 (2010) pp. 281-307. http://gdmltest.u-ga.fr/item/BUMI_2010_9_3_2_281_0/

[Ab] Abdulali, S., Hodge Structures of CM type, J. Ramanujan Math. Soc., 20, no. 2 (2005), 155-162. | MR 2169094 | Zbl 1094.14004

[A] André, Y. , Mumford-Tate groups of mixed Hodge structures and the theorem of the fixed part, Compositio Math., 82 (1992), 1-24. | MR 1154159

[Bo] Borel, A., Linear Algebraic Groups, Grad. Texts in Math., 126, Springer-Verlag (New York, 1991). | MR 1102012

[C] Chern, S. S., On a generalization of Kähler geometry, in Algebraic Geometry and Topology. A symposium in honor of S. Lefschetz, Princeton Univ. Press, Princeton (NJ, 1957), 103-121. | MR 87172

[C-MS-P] Carlson, J. - Mueller-Stach, S. - Peters, C., Period Mappings and Period Domains, Cambridge Univ. Press (2003), 559. | MR 2012297 | Zbl 1030.14004

[CGG] Carlson, J. - Green, M. - Griffiths, P., Variations of Hodge structures considered as an exterior differential system: Old and new results, SIGMA, 5, 087, 40, http://www.emis.de/journals/SIGMA/2009/087/ | MR 2559674 | Zbl 1187.14001

[DMOS] Deligne, P., Hodge cycles on abelian varieties (Notes by J. S. Milne), in Hodge Cycles, Motives, and Shimura Varieties, Lect. Notes in Math., 900 (Springer- Verlag, New York, 1982), 9-100. | MR 654325 | Zbl 0537.14006

[GGK] Green, M. - Griffiths, P. - Kerr, M., Mumford-Tate and the geometry and arithmetic of period domains, to appear. | MR 2666359

[KU] Kato, K. - Usui, S., Classifying Spaces of Degenerating Polarized Hodge Structures, Ann. of Math. Studies, 169 (Princeton Univ. Press, Princeton, NJ, 2009). | MR 2465224 | Zbl 1172.14002

[Mo] Moonen, B., Notes on Mumford-Tate groups, preprint, 1999.

[Mu] Mumford, D., A note of Shimura's paper Discontinuous groups and abelian varieties, Math. Ann., 181 (1969), 345-351. | MR 248146 | Zbl 0169.23301

[PS] Peters, C. - Steenbrink, J., Mixed Hodge Structures, Ergeb. Math. Grenzgebiete, 52 (Springer-Verlag, New York, 2008), 470. | MR 2393625 | Zbl 1138.14002

[Sc] Schmid, W., Variation of Hodge structure: The singularities of the period mapping, Invent. Math., 22 (1973), 211-319. | MR 382272 | Zbl 0278.14003