On a family of negative curves
@article{GonzalezAnaya2019OnAF, title={On a family of negative curves}, author={Javier Gonz'alez-Anaya and Jos'e Luis Gonz'alez and Kalle Karu The University of British Columbia and The University of California at Riverside}, journal={Journal of Pure and Applied Algebra}, year={2019} }
8 Citations
Non-existence of negative curves
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Let X be a projective toric surface of Picard number one blown up at a general point. We bring an infinite family of examples of such Xwhose Kleiman-Mori cone of curves is not closed: there is no…
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We study the Mori dream space property for blowups at a general point of weighted projective planes or, more generally, of toric surfaces with Picard number one. Such a variety is a Mori dream space…
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Let K be an algebraically closed field of characteristic 0. A curve of (K∗)2 arising from a Laurent polynomial in two variables is intrinsic negative if its tropical compactification has negative…
Mori Dream Spaces and blow-ups of weighted projective spaces
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Symbolic Rees Algebras
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We survey old and new approaches to the study of symbolic powers of ideals. Our focus is on the symbolic Rees algebra of an ideal, viewed both as a tool to investigate its symbolic powers and as a…
The geography of negative curves
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We study the Mori Dream Space (MDS) property for blowups of weighted projective planes at a general point and, more generally, blowups of toric surfaces defined by a rational plane triangle. The…
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