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Aug 15, 2013 at 14:17 history edited rfauffar CC BY-SA 3.0
I corrected a critical mistake that completely changed the outcome of the answer.
Aug 15, 2013 at 14:12 comment added rfauffar Yes of course! Thanks for the correction, I'll change it now.
Aug 15, 2013 at 13:25 comment added S. Carnahan This minor misunderstanding should be relatively easy to correct. For each $k$, let $\operatorname{Unt}_k(X)$ be the space of divisors on which the sum of untransversal points is equal to $k$. Then the space in question is the complement of the closed set $\bigcup_{N<k\leq d} \operatorname{Unt}_k(X)$.
Aug 15, 2013 at 8:22 comment added prochet it's not closed because it contains all points such that $m_{x}(D)\leq 1$
Aug 15, 2013 at 0:28 history answered rfauffar CC BY-SA 3.0