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- W2135535182 abstract "We compute the facets of the effective and movable cones of divisors on the blow-up of $mathbb{P}^n$ at $n+3$ points in general position. Given any linear system of hypersurfaces of $mathbb{P}^n$ based at $n+3$ multiple points in general position, we prove that the secant varieties to the rational normal curve of degree $n$ passing through the points, as well as their joins with linear subspaces spanned by some of the points, are cycles of the base locus and we compute their multiplicity. We conjecture that a linear system with $n+3$ points is linearly special only if it contains such subvarieties in the base locus and we give a new formula for the expected dimension." @default.
- W2135535182 created "2016-06-24" @default.
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- W2135535182 date "2015-01-16" @default.
- W2135535182 modified "2023-09-27" @default.
- W2135535182 title "On the effective cone of $mathbb{P}^n$ blown-up at $n+3$ points" @default.
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