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Euler sequence for complete smooth k*-surfaces

Published 30 May 2014 in math.AG | (1405.7776v1)

Abstract: 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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