1 citations · 3 across the 5 of their papers we have counts for
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The Fulton-MacPherson compactification is not a Mori dream space
Patricio Gallardo, José Luis González, Evangelos Routis
We show that the Fulton-MacPherson compactification of the configuration space of distinct labeled points in certain varieties of arbitrary dimension , including projective…
The geography of negative curves
Javier González-Anaya, José Luis González, Kalle Karu
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…
Constructing non-Mori Dream Spaces from negative curves
Javier González-Anaya, José Luis González, Kalle Karu
We study blowups of weighted projective planes at a general point, and more generally blowups of toric surfaces of Picard number one. Based on the positive characteristic methods o…
On a family of negative curves
Javier González-Anaya, José Luis González, Kalle Karu
Let be the blowup of a weighted projective plane at a general point. We study the problem of finite generation of the Cox ring of . Generalizing examples of Srinivasan and K…
Balanced complexes and effective divisors on
José Luis González, Elijah Gunther, Olivia Zhang
Doran, Jensen and Giansiracusa showed a bijection between homogeneous elements in the Cox ring of not divisible by any exceptional divisor section, and weighte…
Examples of non-finitely generated Cox rings
José Luis González, Kalle Karu
We bring examples of toric varieties blown up at a point in the torus that do not have finitely generated Cox rings. These examples are generalizations of previous work where toric…