@article{CM_1985__54_3_331_0, author = {Sekiguchi, Tsutomu}, title = {Wild ramification of moduli spaces for curves or for abelian varieties}, journal = {Compositio Mathematica}, volume = {56}, year = {1985}, pages = {331-372}, mrnumber = {791506}, zbl = {0581.14029}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1985__54_3_331_0} }
Sekiguchi, Tsutomu. Wild ramification of moduli spaces for curves or for abelian varieties. Compositio Mathematica, Tome 56 (1985) pp. 331-372. http://gdmltest.u-ga.fr/item/CM_1985__54_3_331_0/
[1] On the theory of θ-functions, the moduli of abelian varieties, and the moduli of curves. Annals of Math. 75 (1962) 342-381. | Zbl 0147.39702
:[2] Representation Theory of Finite Groups and Associative Algebras. New York: Interscience Publishers (1962). | MR 144979 | Zbl 0131.25601
and :[3] Algèbre commutative. Eléments de Math. 27, 28, 30, 31. Hermann: Paris (1961-1965).
:[4] The irreducibility of the space of curves of given genus. Publ. Math. IHES 36 (1969) 75-110. | Numdam | MR 262240 | Zbl 0181.48803
and :[5] Fondéments de la géométrie algébrique. Séminaire Bourbaki 1957-1962.Secrétariat Math. paris (1962). Refered to as FGA. | MR 146040 | Zbl 0239.14002
:[6] Eléments de géométrie algébrique. Publ. Math. IHES 4, 8, 11, 17, 20, 24, 28, 32, 1960-1972. Refered to as EGA. | Numdam
and :[7] Séminaire de géométrie algébrique 1. Lecture Notes in Math. Vol. 224. Berlin-Heidelberg-New York: Springer (1971). Refered to as SGA 1. | Zbl 0234.14002
et al.:[8] Theorie der relativ-zyklischen algebraischen Funktionen-Körper, insbesondere bei endlichen Konstanten-Körper. Journ. reine angew. Math. (Crelle) 172 (1935) 37-54. | JFM 60.0097.01 | Zbl 0010.00501
:[9] The fields of moduli for polarized abelian varieties and for curves. Nagoya Math. J. 48 (1972) 37-55. | MR 352095 | Zbl 0246.14006
:[10] Deformations of curves I, moduli for hyperelliptic curves. In: Algebraic Geometry. Proceedings Tromso, Norway 1977. Lecture Notes in Math. Vol. 687, pp. 150-167. Berlin- Heidelberg-New York: Springer (1978). | MR 527233 | Zbl 0422.14014
and :[11] The hyperelliptic locus with special reference to characteristic two. Math. Ann. 222 (1976) 55-61. | MR 407030 | Zbl 0314.14009
:[12] Basics on families of hyperelliptic curves. Comp. Math. 38 (1979) 83-111. | Numdam | MR 523266 | Zbl 0406.14017
and :[13] Commutative Algebra. New York: W.A. Benjamin (1970). | MR 266911 | Zbl 0211.06501
:[14] Polarized varieties, fields of moduli, and generalized Kummer varieties of polarized abelian varieties. Amer. J. Math. 80 (1958) 45-82. | MR 94360 | Zbl 0085.15304
:[15] On a theorem of Torelli. Amer. J. Math. 80 (1958) 784-800. | MR 97398 | Zbl 0100.35602
:[16] The crystals associated to Barsotti-Tate groups; with applications to abelian schemes. Lecture Notes in Math. Vol. 264. Berlin-Heidelberg -New York: Springer (1972). | MR 347836 | Zbl 0243.14013
:[17] Geometric Invariant Theory. Ergebnisse. Berlin- Heidelberg-New York: Springer (1965). | MR 214602 | Zbl 0147.39304
:[18] Abelian varieties. Tata Inst. Studies in Math. Oxford University Press (1970). | MR 282985 | Zbl 0223.14022
[19] Local rings. Interscience Tracts in Pure & Applied Math. 13. New York: J. Wiley (1962). | MR 155856 | Zbl 0123.03402
:[20] Finite group schemes, local moduli for abelian varieties and lifting problems. In: Algebraic Geometry, Oslo (1970) pp. 223-254. Wolters-Noordhoff (1972). Also: Comp. Math. 23 (1972) 265-296. | Numdam | MR 301026 | Zbl 0239.14018 | Zbl 0223.14024
:[21] Singularities of coarse moduli schemes. Sém. Dubreil 29 (1975/1976). Lecture Notes in Math. Vol. 586, pp. 61-76. Berlin -Heidelberg-New York: Springer (1977). | MR 518011 | Zbl 0349.14003
:[22] The local Torelli problem for algebraic curves. J. de Geometrie Algebrique Angers (1979) A. Beauville editor, Sijthoff & Noordhoff (1980) pp. 157-203. | MR 605341 | Zbl 0444.14007
and :[23] Principally polarized abelian varieties of dimension two or three are jacobian varieties. J. Fac. Sci. Univ. Tokyo, Section IA, Math. 20 (1973) 377-381. | MR 364265 | Zbl 0272.14008
and :[24] Quotient-singularities in characteristic p. Thesis, M.I.T. (1980).
:[25] The singularities of the moduli scheme of curves. J. Number Theory 1 (1969) 90-107. | MR 237492 | Zbl 0175.18503
:[26] On the fields of rationality for curves and for abelian varieties. Bull. Facult. Sci. & Eng. Chuo Univ. 23 (1980) 35-41. | MR 626110 | Zbl 0473.14013
:[27] The coincidence of fields of moduli for nonhyperelliptic curves and for their jacobian varieties. Nagoya Math. J. 82 (1981) 57-82. | MR 618808 | Zbl 0423.14017
:[28] On the fields of rationality for curves and for their jacobian varieties. Nagoya Math. J. 88 (1982) 197-212. | MR 683250 | Zbl 0473.14012
:[29] On the field of rationality for an abelian variety. Nagoya Math. J. 45 (1972) 167-178. | MR 306215 | Zbl 0243.14012
: