Formal deformations and their categorical general fibre
Formal deformations and their categorical general fibre
复制标题
形式变形及其分类一般纤维
DOI：
10.4171/cmh/217
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
P. Stellari
中科院分区：
文献类型：
--
作者：
D. Huybrechts;Emanuele Macrì;P. Stellari
本文从交换范畴和导出范畴的角度研究了射影簇的形式圆盘上的形式变形的一般纤维。由形式变形直接构造了一般纤维相干层的阿贝尔范畴，并证明了它在罗朗级数域上是线性的。各种候选人的衍生类别的一般纤维进行了比较。
如果品种是一个表面与平凡的标准丛，我们表明，一般纤维的衍生类别再次是一个线性三角范畴的Serre函子的平方的移位函子。
We study the general fibre of a formal deformation over the formal disk of a projective variety from the view point of abelian and derived categories. The abelian category of coherent sheaves of the general fibre is constructed directly from the formal deformation and is shown to be linear over the field of Laurent series. The various candidates for the derived category of the general fibre are compared.
If the variety is a surface with trivial canonical bundle, we show that the derived category of the general fibre is again a linear triangulated category with a Serre functor given by the square of the shift functor.
K3 表面和方向的推导等价
影响因子：
2.5
作者：
D. Huybrechts;E. Macrì;P. Stellari
通讯作者：
P. Stellari