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arXiv · 1804.08382

Examples of Mori dream surfaces of general type with $p_g=0$

JongHae Keum·Kyoung-Seog Lee
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Abstract

In this paper we study effective, nef and semiample cones of minimal surfaces of general type with $p_g=0.$ We provide examples of minimal surfaces of general type with $p_g=0, 2 \leq K^2 \leq 9$ which are Mori dream spaces. On these examples we also give explicit description of effective cones and all irreducible reduced curves of negative self-intersection. We also present non-minimal surfaces of general type with $p_g=0$ that are not Mori dream surfaces.

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JongHae Keum, Kyoung-Seog Lee. 2018-04-23. Examples of Mori dream surfaces of general type with $p_g=0$. https://arxiv.org/abs/1804.08382

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