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7 votes
2 answers
608 views

Will (general points + small number of arbitrary points) impose independent condtions on plane curves?

It is well known that imposing vanishing at general points of $\mathbb P^2$ gives independent conditions on curves of degree $d$. Also, it is known that a small number ($\le d+1$) points always impose ...
Drew's user avatar
  • 1,509
1 vote
0 answers
263 views

Hopf lemma for line bundles on curves in algebraic geometry

In the paper http://arxiv.org/pdf/math/0110256v1.pdf Claire Voisin proves that all linear subspaces which lie inside of a (not too big) secant variety of a smooth projective curve must lie inside one ...
user42066's user avatar
1 vote
3 answers
999 views

On the Clifford index of a curve

Let X be an algebraic curve and c be the Clifford index of X. When c is small (e.g c=1), what is the classification of the line bundle who computes c?
Messi's user avatar
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