Mumford-Tate groups of mixed Hodge structures and the theorem of the fixed part
Compositio Mathematica, Volume 82 (1992) no. 1, pp. 1-24.
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     title = {Mumford-Tate groups of mixed {Hodge} structures and the theorem of the fixed part},
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     pages = {1--24},
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     volume = {82},
     number = {1},
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     zbl = {0770.14003},
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     url = {http://archive.numdam.org/item/CM_1992__82_1_1_0/}
}
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André, Yves. Mumford-Tate groups of mixed Hodge structures and the theorem of the fixed part. Compositio Mathematica, Volume 82 (1992) no. 1, pp. 1-24. http://archive.numdam.org/item/CM_1992__82_1_1_0/

[A1] André, Y., Sur certaines algèbres de Lie associées aux schémas abéliens, Note C.R.A.S.t. 299 I n°5 (1984), 137-140. | MR | Zbl

[A2] André, Y., Quatre descriptions des groupes de Galois différentiels, Proceedings of the 'Séminaire d'algèbre de Paris', Springer, L.N. 1296. | Zbl

[B] Borovoi, M., The Hodge group and the algebra of endomorphisms of an abelian variety; Questions of group theory and homological algebra (A.L. Onishchik, ed.), Yaroslav, Ges. Univ. 1981 (Russian). | MR | Zbl

[CKS] Cattani, E., Kaplan, A., Schmid, W., Degeneration of Hodge structure, Ann. Math. 123 (1986) 457-535. | MR | Zbl

[CG] Cornalba, M., Griffiths, P., Some transcendental aspects of algebraic geometry, Proc. Symp. Pure Math. Vol. XXIX, AMS 1975, 3-110. | MR | Zbl

[D1] Deligne, P., Equations différentielles à points singuliers réguliers. LN 163 (1970) Springer. | MR | Zbl

[D2] Deligne, P., Théorie de Hodge. II. Publ. Math. IHES 40 (1972), 5-57; III, Publ. Math. IHES 44 (1974) 5-78. | EuDML | Numdam | MR | Zbl

[D3] Deligne, P., La conjecture de Weil pour les surfaces K3, Inv. Math. 15 (1972), 206-226. | EuDML | MR | Zbl

[DM] Deligne, P. and al., Hodge cycles, motives and Shimura varieties, Springer L.N. 900 (1982). I. Hodge cycles on abelian varieties 9-100. II. Tannakian categories 101-228. | MR | Zbl

[HZ] Hain, R.M., Zucker, S., Unipotent variations of mixed Hodge structure, Inv. Math. 88 (1987), 83-124. | EuDML | MR | Zbl

[K] Kashiwara, M., A study of variation of mixed Hodge structure, Publ. RIMS Kyoto Univ. 22 (1986) 991-1024. | MR | Zbl

[Kz] Katz, N., Algebraic solutions of differential equations, Inv. Math. 18 (1972), 1-118. | EuDML | MR | Zbl

[M] Manin, Y., Rational points of algebraic curves over function fields, AMS transl. (2) 37, 59-78. | Zbl

[Md] Mumford, D., Abelian Varieties, Oxford University Press, Oxford (1970). | MR | Zbl

[My] Murty, V.K., Exceptional Hodge classes on certain abelian varieties, Math. Ann. 268 (1984), 197-205. | EuDML | MR | Zbl

[Sd] Schmid, W., The singularities of the period mapping, Inv. Math. 22 (1973), 211-319. | EuDML | MR | Zbl

[S] Shimura, G., On analytic families of polarized abelian varieties and automorphic functions, Ann. of Math. 78 (1963), 149-192. | MR | Zbl

[SZ] Steenbrink, J., Zucker, S., Variation of mixed Hodge structure. I. Inv. Math. 80 (1985), 489-542. | EuDML | MR | Zbl

[W] Waterhouse, W., Introduction to affine group schemes, Springer, Heidelberg, 1979. | MR | Zbl