Higher-dimensional Losev-Manin spaces fiber over projective space products with Losev-Manin fibers and equal Chow quotient normalizations; a toric blow-up criterion shows the Chen-Gibney-Krashen pointed-curve generalization is not a Mori dream space for nine or more points in any dimension.
Algebraic Geom
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Higher-dimensional Losev-Manin spaces and their geometry
Higher-dimensional Losev-Manin spaces fiber over projective space products with Losev-Manin fibers and equal Chow quotient normalizations; a toric blow-up criterion shows the Chen-Gibney-Krashen pointed-curve generalization is not a Mori dream space for nine or more points in any dimension.