Mumford-Tate Domains
Bollettino della Unione matematica italiana, Série 9, Tome 3 (2010) no. 2, pp. 281-307.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

@article{BUMI_2010_9_3_2_a2,
     author = {Green, Mark and Griffiths, Phillip and Kerr, Matt},
     title = {Mumford-Tate {Domains}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {281--307},
     publisher = {mathdoc},
     volume = {Ser. 9, 3},
     number = {2},
     year = {2010},
     zbl = {1208.14008},
     mrnumber = {2666359},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_2_a2/}
}
TY  - JOUR
AU  - Green, Mark
AU  - Griffiths, Phillip
AU  - Kerr, Matt
TI  - Mumford-Tate Domains
JO  - Bollettino della Unione matematica italiana
PY  - 2010
SP  - 281
EP  - 307
VL  - 3
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_2_a2/
LA  - en
ID  - BUMI_2010_9_3_2_a2
ER  - 
%0 Journal Article
%A Green, Mark
%A Griffiths, Phillip
%A Kerr, Matt
%T Mumford-Tate Domains
%J Bollettino della Unione matematica italiana
%D 2010
%P 281-307
%V 3
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_2_a2/
%G en
%F BUMI_2010_9_3_2_a2
Green, Mark; Griffiths, Phillip; Kerr, Matt. Mumford-Tate Domains. Bollettino della Unione matematica italiana, Série 9, Tome 3 (2010) no. 2, pp. 281-307. http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_2_a2/

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

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

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

[C] S. S. Chern, 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

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

[CGG] J. Carlson - M. Green - P. Griffiths, 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/ | fulltext EuDML | DOI | MR | Zbl

[DMOS] P. Deligne, 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 | Zbl

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

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

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

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

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

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