Mumford-Tate Domains

Mark Green; Phillip Griffiths; Matt Kerr

Bollettino dell'Unione Matematica Italiana (2010)

  • Volume: 3, Issue: 2, page 281-307
  • ISSN: 0392-4041

How to cite

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Green, Mark, Griffiths, Phillip, and Kerr, Matt. "Mumford-Tate Domains." Bollettino dell'Unione Matematica Italiana 3.2 (2010): 281-307. <http://eudml.org/doc/290655>.

@article{Green2010,
author = {Green, Mark, Griffiths, Phillip, Kerr, Matt},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {281-307},
publisher = {Unione Matematica Italiana},
title = {Mumford-Tate Domains},
url = {http://eudml.org/doc/290655},
volume = {3},
year = {2010},
}

TY - JOUR
AU - Green, Mark
AU - Griffiths, Phillip
AU - Kerr, Matt
TI - Mumford-Tate Domains
JO - Bollettino dell'Unione Matematica Italiana
DA - 2010/6//
PB - Unione Matematica Italiana
VL - 3
IS - 2
SP - 281
EP - 307
LA - eng
UR - http://eudml.org/doc/290655
ER -

References

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  1. ABDULALI, S., Hodge Structures of CM type, J. Ramanujan Math. Soc., 20, no. 2 (2005), 155-162. Zbl1094.14004MR2169094
  2. ANDRÉ, Y. , Mumford-Tate groups of mixed Hodge structures and the theorem of the fixed part, Compositio Math., 82 (1992), 1-24. MR1154159
  3. BOREL, A., Linear Algebraic Groups, Grad. Texts in Math., 126, Springer-Verlag (New York, 1991). MR1102012DOI10.1007/978-1-4612-0941-6
  4. 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. MR87172
  5. CARLSON, J. - MUELLER-STACH, S. - PETERS, C., Period Mappings and Period Domains, Cambridge Univ. Press (2003), 559. Zbl1030.14004MR2012297
  6. 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/ Zbl1187.14001MR2559674DOI10.3842/SIGMA.2009.087
  7. 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. Zbl0537.14006MR654325
  8. GREEN, M. - GRIFFITHS, P. - KERR, M., Mumford-Tate and the geometry and arithmetic of period domains, to appear. MR2666359
  9. KATO, K. - USUI, S., Classifying Spaces of Degenerating Polarized Hodge Structures, Ann. of Math. Studies, 169 (Princeton Univ. Press, Princeton, NJ, 2009). Zbl1172.14002MR2465224DOI10.1515/9781400837113
  10. MOONEN, B., Notes on Mumford-Tate groups, preprint, 1999. 
  11. MUMFORD, D., A note of Shimura's paper Discontinuous groups and abelian varieties, Math. Ann., 181 (1969), 345-351. Zbl0169.23301MR248146DOI10.1007/BF01350672
  12. PETERS, C. - STEENBRINK, J., Mixed Hodge Structures, Ergeb. Math. Grenzgebiete, 52 (Springer-Verlag, New York, 2008), 470. Zbl1138.14002MR2393625
  13. SCHMID, W., Variation of Hodge structure: The singularities of the period mapping, Invent. Math., 22 (1973), 211-319. Zbl0278.14003MR382272DOI10.1007/BF01389674

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