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 F-n for every positive integer n big enough.
G. Bini, F.F. Favale (2017). An unbounded family of log Calabi-Yau pairs. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, 28(3), 619-633 [10.4171/RLM/779].
An unbounded family of log Calabi-Yau pairs
G. Bini;
2017-01-01
Abstract
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 F-n for every positive integer n big enough.
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