Generic flexibility of affine cones over del Pezzo surfaces of degree 2.

Various ample divisors on smooth del Pezzo surfaces of degree 2 have been verified to allow polar cylinders in [I. Cheltsov, J. Park and J. Won, Cylinders in del Pezzo surfaces, Int. Math. Res. Not.2017(4) (2015) 1179–1230]. We show that affine cones over smooth del Pezzo surfaces of degree 2 polarized by such ample divisors are flexible in codimension one. All varieties in this paper are assumed to be defined over an algebraically closed field of characteristic zero. [ABSTRACT FROM AUTHOR]