3 problems

Let a smooth real plane curve be of even degree, so that an oval is null-homotopic in $\mathbb RP^2$. Call a scheme rigid when any two curves representing it are rigid-isotopic. On…

Let $C_m$ be any smooth real plane curve of degree $m$, and let its empty ovals be the components whose interiors contain no other real components. Collective contraction conjectur…

Fix an integer $m\ge 1$, and consider real schemes of degree $m$, ordered in the lattice of all real schemes. A scheme is of type I when its real curve is dividing. Rohlin's maxima…