论文标题

在某些曲线产品上的矢量捆绑包的库兰尼图地图

The Kuranishi map for vector bundles on certain products of curves

论文作者

Ballico, Edoardo, Gasparim, Elizabeth, Rubilar, Francisco, Suzuki, Bruno

论文摘要

我们描述了表面上向量束的变形,这是两条光滑射击曲线的产物。我们明确地描述了围绕不稳定矢量束的库兰希图,并比较了稳定变形和不稳定变形的库拉尼什空间的同源物。

We describe deformations of vector bundles on surfaces that are a product of two smooth projective curves. We explicitly describe the Kuranishi map around unstable vector bundles and compare the homologies of the Kuranishi spaces of stable and unstable deformations.

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