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Mathematics > Algebraic Geometry

arXiv:1804.08382 (math)
[Submitted on 23 Apr 2018 (v1), last revised 7 May 2018 (this version, v2)]

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

Authors: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.
Comments: Add examples of non-minimal surfaces of general type with $p_g=0$ that are not Mori dream surfaces. Fix a few typos and add more details
Subjects: Algebraic Geometry (math.AG)
Cite as: arXiv:1804.08382 [math.AG]
  (or arXiv:1804.08382v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1804.08382

Submission history

From: Kyoung-Seog Lee [view email]
[v1] Mon, 23 Apr 2018 12:54:48 UTC (23 KB)
[v2] Mon, 7 May 2018 17:21:17 UTC (24 KB)
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