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Paper detail

Constructions of singular rational surfaces of Picard number one with ample canonical divisor

Kollár gave a series of examples of rational surfaces of Picard number $1$ with ample canonical divisor having cyclic singularities. In this paper, we construct several series of new examples in a geometric way, i.e., by blowing up several times inside a configuration of curves on the projective plane and then by contracting chains of rational curves. One series of our examples have the same singularities as Kollár's examples.

preprint2010arXivOpen access
DongSeon HwangJongHae Keum
math.AG
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DongSeon HwangJongHae Keum

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