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Rational maps between curves: injectivity, surjectivity, decomposition, and iteration

Algebra & Discrete Mathematics

Speaker: Michael Zieve, Rutgers University
Location: 3106 MSB
Start time: Fri, Jan 11 2008, 2:10PM

I will discuss various results about rational maps between curves. For instance, if the ground field is finite but large, then such a map is injective on rational points precisely when it is surjective. Other topics include classifying the maps with certain monodromy groups, and determining the pairs of complex polynomial maps having orbits with infinite intersection.