Abelian varieties and arithmetic class invariants
- [1] Université de Caen Laboratoire de Mathématiques Nicolas Oresme (CNRS UMR 6139) BP 5186 14032 Caen cedex (France)
Annales de l’institut Fourier (2006)
- Volume: 56, Issue: 2, page 277-297
- ISSN: 0373-0956
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top- A. Agboola, A geometric description of the class invariant homomorphism, J. Théor. Nombres Bordeaux 6 (1994), 273-280 Zbl0833.11055MR1360646
- A. Agboola, Torsion points on elliptic curves and Galois module structure, Invent. Math. 123 (1996), 105-122 Zbl0864.11055MR1376248
- A. Agboola, G. Pappas, On arithmetic class invariants, Math. Ann. 320 (2001), 339-365 Zbl0989.11061MR1839767
- A. Agboola, M. J. Taylor, Class invariants of Mordell-Weil groups, J. Reine Angew. Math. 447 (1994), 23-61 Zbl0799.11049MR1263168
- S. Anantharaman, Schémas en groupes, espaces homogènes et espaces algébriques sur une base de dimension , Bull. Soc. Math. Fr. 33 (1973), 5-79 Zbl0286.14001MR335524
- S. Bosch, W. Lütkebohmert, M. Raynaud, Néron Models, 21 (1990), Springer, Berlin-Heidelberg-New York Zbl0705.14001MR1045822
- P. Cassou-Noguès, M. J. Taylor, Structures galoisiennes et courbes elliptiques, J. Théor. Nombres Bordeaux 7 (1995), 307-331 Zbl0852.11066MR1413581
- J. Gillibert, Invariants de classes : le cas semi-stable, Compositio Mathematica 141 (2005), 887-901 Zbl1173.11353MR2148197
- A. Grothendieck, Groupes de monodromie en géométrie algébrique, 288 (1972), Springer, Berlin-Heidelberg-New York Zbl0237.00013
- A. Grothendieck, M. Artin, J. L. Verdier, Théorie des topos et cohomologie étale des schémas, 269, 270 (1972), Springer, Berlin-Heidelberg-New York
- J. S. Milne, Arithmetic Duality Theorems, 1 (1986), Academic Press, Boston, MA Zbl0613.14019MR881804
- D. Mumford, Bi-extensions of formal groups, Algebraic Geometry (1969), 307-322, Oxford University Press Zbl0216.33101MR257089
- G. Pappas, On torsion line bundles and torsion points on abelian varieties, Duke Math. J. 91 (1998), 215-224 Zbl1029.11020MR1600574
- A. Srivastav, M. J. Taylor, Elliptic curves with complex multiplication and Galois module structure, Invent. Math. 99 (1990), 165-184 Zbl0705.14031MR1029394
- M. J. Taylor, Mordell-Weil groups and the Galois module structure of rings of integers, Illinois J. Math. 32 (1988), 428-452 Zbl0631.14033MR947037
- M. J. Taylor, -functions and Galois modules : Explicit Galois Modules, -functions and Arithmetic 153 (1991), Cambridge University Press Zbl0733.11044MR1110391
- W. C. Waterhouse, Principal homogeneous spaces and group scheme extension, Trans. Am. Math. Soc. 153 (1971), 181-189 Zbl0208.48401MR269659
- A. Werner, On Grothendieck’s pairing of component groups in the semistable reduction case, J. Reine Angew. Math. 486 (1997), 205-215 Zbl0872.14037MR1450756