3 problems

For each degree $d$, let $\mathcal S_d$ be the collection of polynomial vector fields in the plane of degree $d$. Write $F_\mu$ for the vector field whose coefficients are encoded…

Let $C$ be a smooth real plane curve, and call an oval empty when its interior contains no other real component. Itenberg–Viro contraction conjecture. Any empty oval of $C$ can be…

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…