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Complete families of immersed curves. (arXiv:1711.00531v2 [math.AG] UPDATED)
来源于:arXiv
We extend results of Chang and Ran regarding large dimensional families of
immersed curves of positive genus in projective space in two directions. In one
direction, we prove a sharp bound for the dimension of a complete family of
smooth rational curves immersed into projective space, completing the picture
in projective space. In another direction, we isolate the necessary positivity
condition on the tangent bundle of projective space used to run the argument,
which allows us to rule out large dimensional families of immersed curves of
positive genus in generalized flag varieties. 查看全文>>