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Jun 15, 2020 at 7:27 history edited CommunityBot
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Mar 31, 2011 at 3:10 history edited Csar Lozano Huerta CC BY-SA 2.5
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Mar 31, 2011 at 3:08 comment added Csar Lozano Huerta No, I don't claim the two questions are equivalent, I stated that when the the base locus has multiplicity the question is equivalent to the SHGH conjecture. Actually, I gave an example when the base locus is a (-1) curve but the linear system is not special. Though my answer seems to be confusing, I'll try to make clearer.
Mar 30, 2011 at 8:59 comment added quim @Csar: The SHGH conjecture would give an answer to the original question, and it seems hard to get an answer without SHGH, but it is not clear to me whether SHGH is necessary in order to answer this. Are you claiming both questions are equivalent? Besides, the bound on the multiplicity for wich the conjecture is known in the plane is now 11, see Dumnicki-Jarnicki arXiv:math/0505183
Mar 30, 2011 at 6:02 history answered Csar Lozano Huerta CC BY-SA 2.5