LisMath Seminar 

06/05/2016, 16:00 — 17:00 — Room V1.07, Civil Engineering Building, IST
Nguyen Bin, Universidade de Lisboa

Ramified coverings of algebraic varieties

Both finite (ramified) coverings of algebraic varieties  and quotients of algebraic varieties by finite group actions  are  important sources of examples in algebraic geometry. In this seminar these notions will be discussed with special emphasis on the case of Abelian coverings and Galois coverings. In addition some examples will be presented.

Bibliography

1. H. Cartan, Quotient d'un espace analytique par un groupe d'automorphismes, A symposium in honor of S. Lefschetz, Algebraic geometry and topology. pp. 90-102. Princeton University Press, Princeton, N. J. 1957.
2. F. Catanese, Singular bidouble covers and the construction of interesting algebraic surfaces. Algebraic geometry: Hirzebruch 70 (Warsaw, 1998), 97?120, Contemp. Math., 241, Amer. Math. Soc., Providence, RI, 1999.
3. R. Hartshorne, Algebraic Geometry, G.T.M. 52, Springer-Verlag, New York, (1977).
4. M. Namba, On finite Galois coverings of projective manifolds,  J. Math. Soc. Japan, vol. 41, nº 3 1989.
5. R. Pardini, Abelian covers of algebraic varieties, J. Reine Angew. Math., 417 (1991), 191-213.

See also

Ramified coverings of algebraic varieties.pdf