On blowing up the weighted projective plane

By Jürgen Hausen, Simon Keicher, Antonio Laface. Mathematische Zeitschrift, 2016

50 citations recorded by the source corpus.

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 M¯0,n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\overline{M}_{0,n}$$\end{document} are discussed.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/5ba60b5f29cb9d8382f2abb644c62e0347f44fa1