摘要
We prove that every complete family of linearly non-degenerate rational curves of degree e > 2 in P-n has at most n - 1 moduli. For e = 2 we prove that such a family has at most n moduli. The general method involves exhibiting a map from the base of a family X to the Grassmannian of e-planes in P-n and analyzing the resulting map on cohomology.
- 出版日期2011-9