Complete Families of Linearly Non-degenerate Rational Curves
نویسنده
چکیده
We prove that a complete family of linearly non-degenerate rational curves of degree e > 2 in P has at most n−1 moduli. For e = 2 we prove that such a family has at most n moduli. It is unknown whether or not this is the best possible result. The general method involves exhibiting a map from the base of a family X to the Grassmaninian of e-planes in P and analyzing the resulting map on cohomology.
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تاریخ انتشار 2008