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Mar 16, 2017 at 17:59 history edited Pedro Lauridsen Ribeiro CC BY-SA 3.0
Update shortened and corrected
Mar 16, 2017 at 7:18 history edited Pedro Lauridsen Ribeiro CC BY-SA 3.0
Added comments to update
Mar 16, 2017 at 7:02 history edited Pedro Lauridsen Ribeiro CC BY-SA 3.0
Added update on recent result on a sharp upper bound on the number of hyperbolicity cones
Dec 29, 2016 at 7:23 history edited Pedro Lauridsen Ribeiro CC BY-SA 3.0
Added example
Dec 23, 2016 at 18:07 history edited Pedro Lauridsen Ribeiro CC BY-SA 3.0
Corrected typo
Dec 18, 2016 at 21:13 history edited Pedro Lauridsen Ribeiro CC BY-SA 3.0
Added explanation, clarified notation
S Jun 2, 2016 at 4:23 history bounty ended Pedro Lauridsen Ribeiro
S Jun 2, 2016 at 4:23 history notice removed Pedro Lauridsen Ribeiro
May 25, 2016 at 8:47 answer added Aaron Meyerowitz timeline score: 4
S May 25, 2016 at 4:18 history bounty started Pedro Lauridsen Ribeiro
S May 25, 2016 at 4:18 history notice added Pedro Lauridsen Ribeiro Draw attention
Feb 26, 2016 at 13:35 history edited Pedro Lauridsen Ribeiro CC BY-SA 3.0
Typos fixed, small aesthetic improvements
Feb 9, 2016 at 20:02 comment added Boris Bukh As far as I know, the conjecture is that the largest number of components (convex or not) in a complement of $\{f=0\}$ occurs attained when $f$ is a union of hyperplanes in general position. As I am no expert, and cannot recall a reference, I refrain from making this into an answer.
Feb 9, 2016 at 18:44 history asked Pedro Lauridsen Ribeiro CC BY-SA 3.0