2004/11/23 by Ekaterina Amerik, Amerik, Ekaterina
Mathematics · #14J45 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J45
paper · pdf · doi:10.48550/arxiv.math/0411511
Latex, 19 pages, in French. Not a research article. Just a couple of lectures written down
arxiv created 2004/11/23 · arxiv updated 2009/12/01
This is not a research article. This is a partial version of a mini-cours which I gave at a meeting of the ACI Jeunes Chercheurs "Dynamique des applications polynomiales" in Toulouse in november 2004. This text includes two parts of that mini-cours: the first one collects some preliminaries on Fano threefolds with cyclic Picard group, the second one discusses some methods to obtain bounds for the degree of a morphism onto such a Fano threefold (different from projective space). The mini-cours also had a third part - the boundedness theorem of Hwang and Mok for morphisms between Fano manifolds which have rational curves with trivial normal bundles; this part is not included here, as the Hwang and Mok's paper in Journal of Algebraic Geometry 12 (2003) is concise, clear and self-contained.