Abstract We study the moduli space of stable sheaves of Euler characteristic one, supported on curves of degree ( 3 , 3 ) contained in a smooth quadric surface. We compute its Hodge numbers by investigating the variation of the moduli spaces of α-semi-stable coherent systems. We find the classification of the semi-stable sheaves by means of extensions or resolutions.

中文翻译：

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二次曲面中包含的第 4 类曲线上支撑的滑轮的模量

摘要 我们研究了欧拉特征一的稳定滑轮的模空间，它由包含在光滑二次曲面中的度数曲线 ( 3 , 3 ) 支持。我们通过研究 α-半稳定相干系统的模空间的变化来计算它的霍奇数。我们通过扩展或分解找到半稳定滑轮的分类。