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arXiv · 1405.7776

Euler sequence for complete smooth k*-surfaces

Antonio Laface·Manuel Melo
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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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Antonio Laface, Manuel Melo. 2014-05-30. Euler sequence for complete smooth k*-surfaces. https://arxiv.org/abs/1405.7776

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