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arxiv: 1405.7776 · v1 · pith:R5GRUOA7new · submitted 2014-05-30 · 🧮 math.AG

Euler sequence for complete smooth k*-surfaces

classification 🧮 math.AG
keywords completeeulersequencesequencessmoothsurfacesurfacesapplication
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In this note we introduce exact sequences of sheaves on a complete smooth k*-surface without elliptic points. These sequences are an attempt to generalize the Euler sequence for a toric variety to complexity one surfaces. As an application we show that such a surface is rigid if and only if it is Fano.

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