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arXiv · 1411.3891

Redundant blow-ups of rational surfaces with big anticanonical divisor

DongSeon Hwang·Jinhyung Park
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Abstract

We completely classify redundant blow-ups appearing in the theory of rational surfaces with big anticanonical divisor due to Sakai. In particular, we construct a rational surface with big anticanonical divisor which is not a minimal resolution of a del Pezzo surface with only rational singularities, which gives a negative answer to a question raised in a paper by Testa, V\'{a}rilly-Alvarado, and Velasco.

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DongSeon Hwang, Jinhyung Park. 2014-11-14. Redundant blow-ups of rational surfaces with big anticanonical divisor. https://arxiv.org/abs/1411.3891

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