@article{CM_1992__82_1_1_0, author = {Andr\'e, Yves}, title = {Mumford-Tate groups of mixed {Hodge} structures and the theorem of the fixed part}, journal = {Compositio Mathematica}, pages = {1--24}, publisher = {Kluwer Academic Publishers}, volume = {82}, number = {1}, year = {1992}, mrnumber = {1154159}, zbl = {0770.14003}, language = {en}, url = {http://archive.numdam.org/item/CM_1992__82_1_1_0/} }
TY - JOUR AU - André, Yves TI - Mumford-Tate groups of mixed Hodge structures and the theorem of the fixed part JO - Compositio Mathematica PY - 1992 SP - 1 EP - 24 VL - 82 IS - 1 PB - Kluwer Academic Publishers UR - http://archive.numdam.org/item/CM_1992__82_1_1_0/ LA - en ID - CM_1992__82_1_1_0 ER -
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] 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] Quatre descriptions des groupes de Galois différentiels, Proceedings of the 'Séminaire d'algèbre de Paris', Springer, L.N. 1296. | Zbl
,[B] 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] Degeneration of Hodge structure, Ann. Math. 123 (1986) 457-535. | MR | Zbl
, , ,[CG] Some transcendental aspects of algebraic geometry, Proc. Symp. Pure Math. Vol. XXIX, AMS 1975, 3-110. | MR | Zbl
, ,[D1] Equations différentielles à points singuliers réguliers. LN 163 (1970) Springer. | MR | Zbl
,[D2] Théorie de Hodge. II. Publ. Math. IHES 40 (1972), 5-57; III, Publ. Math. IHES 44 (1974) 5-78. | EuDML | Numdam | MR | Zbl
,[D3] La conjecture de Weil pour les surfaces K3, Inv. Math. 15 (1972), 206-226. | EuDML | MR | Zbl
,[DM] 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
and al.,[HZ] Unipotent variations of mixed Hodge structure, Inv. Math. 88 (1987), 83-124. | EuDML | MR | Zbl
, ,[K] A study of variation of mixed Hodge structure, Publ. RIMS Kyoto Univ. 22 (1986) 991-1024. | MR | Zbl
,[Kz] Algebraic solutions of differential equations, Inv. Math. 18 (1972), 1-118. | EuDML | MR | Zbl
,[M] Rational points of algebraic curves over function fields, AMS transl. (2) 37, 59-78. | Zbl
,[Md] Abelian Varieties, Oxford University Press, Oxford (1970). | MR | Zbl
,[My] Exceptional Hodge classes on certain abelian varieties, Math. Ann. 268 (1984), 197-205. | EuDML | MR | Zbl
,[Sd] The singularities of the period mapping, Inv. Math. 22 (1973), 211-319. | EuDML | MR | Zbl
,[S] On analytic families of polarized abelian varieties and automorphic functions, Ann. of Math. 78 (1963), 149-192. | MR | Zbl
,[SZ] Variation of mixed Hodge structure. I. Inv. Math. 80 (1985), 489-542. | EuDML | MR | Zbl
, ,[W] Introduction to affine group schemes, Springer, Heidelberg, 1979. | MR | Zbl
,