Rohlin's maximality conjecture after Shustin

Fix an integer m1m\ge 1, and consider real schemes of degree mm, ordered in the lattice of all real schemes. A scheme is of type I when its real curve is dividing. Rohlin's maximality conjecture. If a real scheme is of type I, then it is maximal in the lattice of all real schemes of degree mm. The converse was disproved in degree 88 by Shustin, while this implication remains open in the source.

Sources & referencesView supporting material

Primary source

Alexandre Gabard, “Notes on Hilbert's 16th: experiencing Viro's theory”, arXiv:1310.1865 (2013).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.