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arxiv: 0907.3818 · v1 · submitted 2009-07-22 · 🧮 math.AG

Special homogeneous linear systems on Hirzebruch surfaces

classification 🧮 math.AG
keywords conjecturehirzebruchsurfacesbaseboundedequalformulatedholds
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The Segre-Gimigliano-Harbourne-Hirschowitz Conjecture can be naturally formulated for Hirzebruch surfaces F_n. We show that this Conjecture holds for imposed base points of equal multiplicity bounded by 8.

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