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arxiv: 1301.6338 · v1 · pith:2AVQK66Fnew · submitted 2013-01-27 · 🧮 math.AG

DG quivers of smooth rational surfaces

classification 🧮 math.AG
keywords smoothcalculatecollectionexceptionalrationalsurfacesalgebrasaugmentation
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Let X be a smooth rational surface. We calculate a DG quiver of a full exceptional collection of line bundles on X obtained by an augmentation from a strong exceptional collection on the minimal model of X. In particular, we calculate canonical DG algebras of smooth toric surfaces.

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