# Juan G. Escudero

## Artists

## Statement

This works are based on recent research in algebraic geometry concerning highly singular surfaces ("A construction of algebraic surfaces with many real nodes". Annali di Matematica Pura ed Applicata, http://dx.doi.org/10.1007/s10231-015-0478-y. (2015); "Arrangements of real lines and surfaces with A and D singularities". Experimental Mathematics, Vol. 23, n.4, pp. 482-491. (2014); "On a family of complex algebraic surfaces of degree 3n". Comptes Rendus Mathématique. Vol. 351, n.17-18, p.699 (2013). MR3124329, Zbl 1283.14013). Explorations of the interactions of mathematics with the sound and visual arts have potential interest when an anti-genealogy emerges.

## Artworks

In order to get threefolds with vanishing of the first Chern class and absolute value of the Euler number not large but different from zero, F. Hirzebruch studied the cases where the threefold has singularities and then resolve them ("Some examples of threefolds with trivial canonical bundle." In Gesammelte Abhandlungen,
Bd. II, pp. 757-770, Springer, 1987). The work 21A1+6A4-CY-v2 is related to a threefold constructed with a curve having 21 nodes and 6 A4 singularities.
Surfaces of degrees 6, 9 and 12, with 59, 220 and 581 nodes respectively have been used for the generation of d6-d9-d12.