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

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 $p_g=0,2\le K^2\le 9$ 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.

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

References in corpus (2)

• Negative curves on algebraic surfaces
• Derived categories of Burniat surfaces and exceptional collections