We show that all complements of cuspidal hyperplane sections of smooth projective cubic surfaces have isomorphic -cylinders. As a consequence, we derive that the -cancellation problem fails in every dimension greater than or equal to .
"Affine surfaces with isomorphic -cylinders." Kyoto J. Math. 59 (1) 181 - 193, April 2019. https://doi.org/10.1215/21562261-2018-0005