A construction of algebraic surfaces with many real nodes (Q268220)

For \(d\) divisible by \(3\) it is proved that there are real projective surfaces of degree \(d\) with \(\binom{d}{2}\lfloor \frac{d}{2}\rfloor+(1+\frac{d(d-3)}{3})\lfloor \frac{d-1}{2}\rfloor\) real nodes and no other singularities. The existing lower bounds are improved by \(\lfloor \frac{d-1}{2}\rfloor\).