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arXiv · 1608.04542

On blowing up the weighted projective plane

Juergen Hausen·Simon Keicher·Antonio Laface
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Abstract

We investigate the blow-up of a weighted projective plane at a general point. We provide criteria and algorithms for testing if the result is a Mori dream surface and we compute the Cox ring in several cases. Moreover applications to the study of $\overline{M}_{0,n}$ are discussed.

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Juergen Hausen, Simon Keicher, Antonio Laface. 2016-08-16. On blowing up the weighted projective plane. https://doi.org/10.1007/s00209-018-2065-6

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