Explicit Determination of the Images of the Galois Representations Attached to Abelian Surfaces with End(A) = Z

REFERENCES

• Blasius , D. and Ramakrishnan , D. 1989 . “Maass Forms and Galois Representations,”. ” . In Galois Groups over Edited by: Ihara , Y. , Ribet , K. and Serre , J-P. 33 – 78 . New York : Springer-Verlag. . [Blasius and Ramakrishnan], MSRI Publications
   Google Scholar
• Brumer , A. and Kramer , K. 1994 . “The Conductor of an Abelian Variety.” . Compositio Math. , 92 : 227 – 248 . [Brumer and Kramer 94]
   Web of Science ®Google Scholar
• Brumer , A. and Kramer , K. 2001 . “Non-Existence of Certain Semistable Abelian Varieties.” [Brumer and Kramer 01], Preprint
   Google Scholar
• Blichfeldt , H. 1917 . Finite Collineation Groups. Chicago : University of Chicago Press. . [Blichfeldt 19]
   Google Scholar
• Deligne , P. 1971 . Formes modulaires et représentations l-adiques 139 – 172 . Berlin-Heidelberg : Springer-Verlag. . [Deligne 71], Lect. Notes in Mathematics 179
   Google Scholar
• Dickson , L. 1901 . “Canonical Forms of Quaternary Abelian Substitutions in an Arbitrary Galois Field.” . Trans. Amer. Math. Soc. , : 103 – 138 . [Dickson 01]
   Google Scholar
• Hirschfeld , J. 1985 . Finite Projective Spaces of Three Dimensions. Oxford : Clarendon Press. . [Hirschfeld 85]
   Google Scholar
• Leprévost , F. 1991 . “Famille de courbes de genre 2 munies d'une classe de diviseurs rationnels d'ordre 13.” . C. R. Acad. Sci. Paris , 313 : 451 – 454 . [Leprévost 91], Série I
   Google Scholar
• Le Duff , P. 1998 . “Représentations Galoisiennes associées aux points d'ordre des jacobiennes de certaines courbes de genre 2.” . Bull. Soc. Math. France , 126 : 507 – 524 . [Le Duff 98]
   Google Scholar
• Liu , Q. 1994 . “Conducteur et discriminant minimal de courbes de genre 2.” . Compositio Math. , 94 : 51 – 79 . [Liu 94]
   Google Scholar
• Mitchell , H. 1914 . “The Subgroups of the Quaternary Abelian Linear Group.” . Trans. Amer. Math. Soc. , 15 : 379 – 396 . [Mitchell 14]
   Google Scholar
• Ostrom , T. 1977 . “Collineation Groups whose Order is Prime to the Characteristic.” . Math. Z. , 156 : 59 – 71 . [Ostrom 77]
   Web of Science ®Google Scholar
• Raynaud , M. 1974 . “Schémas en groupes de type (p, ., p).” . Bull. Soc. Math. France , 102 : 241 – 280 . [Raynaud 74]
   Google Scholar
• Ribet , K. A. 1975 . “On -adic Representations Attached to Modular Forms.” . Invent. Math. , 28 : 245 – 275 . [Ribet 75]
   Web of Science ®Google Scholar
• Ribet , K. A. 1985 . “On -adic Representations Attached to Modular Forms II.” . Glasgow Math. J. , 27 : 185 – 194 . [Ribet 85]
   Google Scholar
• Ribet , K. A. 1997 . “Images of Semistable Galois Representations.” . Pacific J. of Math. , 181 : 277 – 297 . [Ribet 97]
   Google Scholar
• J-Serre , P. 1968 . A belian l-adic Representations and Elliptic Curves San Francisco : Benjamin. . [Serre 68]
   Google Scholar
• J-Serre , P. 1972 . “Propriétés galoisiennes des points d'ordre fini des courbes elliptiques.” . Invent. Math. , 15 : 259 – 331 . [Serre 72]
   Google Scholar
• J-Serre , P. 2000 . Oeuvres Vol. 4 , 55 Berlin : Springer-Verlag. . [Serre 86]
   Google Scholar
• J-Serre , P. 1987 . “Sur les reprsentations modulaires de degr 2 de Gal(Q/Q).” . Duke Math. J. , 54 : 179 – 230 . [Serre 87]
   Web of Science ®Google Scholar
• Smart , N. P. 1997 . -unit Equations Binary Forms and Curves of Genus 2.” . Proc. Lond. Math. Soc. , III : 271 – 307 . [Smart 97], Ser. 75
   Web of Science ®Google Scholar
• Stein , W. 2000 . “Heeke: The Modular Forms Calculator.” [Stein 00], Available from World Wide Web, http://modular.fas.harvard.edu/Tables/index.html
   Google Scholar