Abelian surfaces and products of elliptic curves
Marchisio, Marina Rosanna
Bollettino dell'Unione Matematica Italiana, Tome 1-A (1998), p. 407-427 / Harvested from Biblioteca Digitale Italiana di Matematica
Access to full text
Full (PDF)
Full (DjVu)

Si dà una nuova e completa dimostrazione del risultato cruciale del metodo di Ruppert che consente di stabilire in maniera effettiva quando una superficie abeliana è isomorfa o isogena a un prodotto di curve ellittiche.

Publié le : 1998-06-01
@article{BUMI_1998_8_1B_2_407_0,
     author = {Marina Rosanna Marchisio},
     title = {Abelian surfaces and products of elliptic curves},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {1-A},
     year = {1998},
     pages = {407-427},
     zbl = {0938.14025},
     mrnumber = {1638147},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_1998_8_1B_2_407_0}
}

Marchisio, Marina Rosanna. Abelian surfaces and products of elliptic curves. Bollettino dell'Unione Matematica Italiana, Tome 1-A (1998) pp. 407-427. http://gdmltest.u-ga.fr/item/BUMI_1998_8_1B_2_407_0/

[B] Baumslag, B.-Chandler, B., Teoria dei gruppi, Collana Schaum (1983).

[Bo] Bolza, O., On binary sextics with linear transformations onto themselves, Am. J. Math., 10 (1888), 47-70. | MR 1505464

[G] Griffiths, H.-Harris, J., Principles of Algebraic Geometry, John Wiley & Sons (1978). | Zbl 0408.14001

[H] Harris, J., Algebraic Geometry, a first course, Springer-Verlag (1992). | MR 1182558 | Zbl 0779.14001

[K] Kempf, G. R., Complex Abelian Varieties and Theta Functions, Springer-Verlag (1991). | MR 1109495 | Zbl 0752.14040

[LB] Lange, H.-C., Complex Abelian Varieties, Springer-Verlag (1992). | MR 1217487 | Zbl 0779.14012

[M] Munkres, J., Elements of Algebraic Topology, The Benjiamin Cumming Publishing Company (1984). | MR 755006 | Zbl 0673.55001

[R] Ruppert, W., When is an abelian surface isomorphic or isogeneous to a product of elliptic curves?, Math. Zeit., 203 (1990), 293-299. | MR 1033438 | Zbl 0712.14028

[S] Schoen, C., Produkte Abelscher Varietäten und Moduln über Ordnungen, J. Reine Angew. Math., 429 (1992), 115-123. | MR 1173119 | Zbl 0744.14030

[Sh] Shioda, T.-Mitani, N., Singular abelian surfaces and binary quadratic forms, in Classification of Algebraic Varieties and Compact Complex Manifolds, Lecture Notes in Math., vol. 412, 255-287, Springer-Verlag (1974). | MR 382289 | Zbl 0302.14011