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arXiv 1405.7776math.AG
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完备光滑k ~*-曲面的Euler序列

Euler sequence for complete smooth k*-surfaces

Antonio Laface, Manuel Melo

摘要:

本文在不含椭圆点的完备光滑k ~*-曲面上引入了层的精确列。这些序列是一种尝试,推广欧拉序列的复曲面品种的复杂性。作为一个应用程序,我们表明,这样的表面是刚性的,当且仅当它是法诺。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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