On the Complex and Real Hessian Polynomials

Table 1

Complex Hessian cubic curves.

𝑥𝑦^2=𝑏𝑥^2+𝑐𝑥+𝑑,𝑏,𝑐,𝑑∈ℂ	𝑥𝑦^2+𝑒𝑦=𝑏𝑥^2+𝑐𝑥+𝑑,𝑒∈ℂ^∗,𝑏,𝑐,𝑑∈ℂ
𝑦^2=𝑎𝑥^3+𝑏𝑥^2+𝑐𝑥+𝑑,𝑎∈ℂ^∗,𝑏,𝑐,𝑑∈ℂ