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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The second author was supported by proyecto FONDECYT postdoctorado N. 3160016. The third author was supported by proyecto FONDECYT regular N. 1150732 and Grant Anillo CONICYT PIA ACT 1415.
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Hausen, J., Keicher, S. & Laface, A. On blowing up the weighted projective plane. Math. Z. 290, 1339–1358 (2018). https://doi.org/10.1007/s00209-018-2065-6
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DOI: https://doi.org/10.1007/s00209-018-2065-6