Some remarks on tautological sheaves on Hilbert schemes of points on a surface
Some remarks on tautological sheaves on Hilbert schemes of points on a surface
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关于曲面上点的希尔伯特方案上同义反复滑轮的一些评论
DOI：
10.1007/s10711-008-9338-x
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发表时间：
2009
影响因子：
0.5
通讯作者：
Luca Scala
中科院分区：
文献类型：
--
作者：
Luca Scala
利用Bridgeland-King-Reid变换研究了光滑拟射影代数曲面上点的Hilbert格式的重言式层。我们获得Brion-Danila的公式推导直接图像的重言式层或其双重张量积的希尔伯特-周态射;作为应用程序，我们计算的上同调的希尔伯特计划的值重言式层或其双重张量积，从而推广以前获得的结果重言式丛。
We study tautological sheaves on the Hilbert scheme of points on a smooth quasi-projective algebraic surface by means of the Bridgeland–King–Reid transform. We obtain Brion–Danila’s Formulas for the derived direct image of tautological sheaves or their double tensor product for the Hilbert–Chow morphism; as an application we compute the cohomology of the Hilbert scheme with values in tautological sheaves or in their double tensor product, thus generalizing results previously obtained for tautological bundles.