We give an explicit example of log Calabi–Yau pairs that are log canonical and have a linearly decreasing Euler characteristic. This is constructed in terms of a degree two covering of a sequence of blow ups of three dimensional projective bundles over the Segre–Hirzebruch surfaces for every positive integer big enough.
Cite this article
Gilberto Bini, Filippo F. Favale, An unbounded family of log Calabi–Yau pairs. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 28 (2017), no. 3, pp. 619–633DOI 10.4171/RLM/779