Complete Families of Linearly Non-degenerate Rational Curves

作者:DeLand Matthew*
来源:Canadian Mathematical Bulletin, 2011, 54(3): 430-441.
DOI:10.4153/CMB-2011-021-2

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

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