Twisted Fourier–Mukai functors
Twisted Fourier–Mukai functors
复制标题
扭曲傅立叶-向井函子
DOI：
10.1016/j.aim.2006.10.010
复制
发表时间：
2006
影响因子：
1.7
通讯作者：
P. Stellari
中科院分区：
文献类型：
--
作者：
A. Canonaco;P. Stellari
根据Orlov的一个定理，光滑射影变异上相干束的有界派生范畴之间的每一个精确全忠实函子都是Fourier-Mukai型的。我们将这一结果推广到有界的扭相干束派生范畴的情况，同时削弱了函子上的假设。作为一个应用，我们得到了光滑射影簇上扭曲相干束的阿贝尔范畴间精确函子的完整描述。
Due to a theorem by Orlov every exact fully faithful functor between the bounded derived categories of coherent sheaves on smooth projective varieties is of Fourier–Mukai type. We extend this result to the case of bounded derived categories of twisted coherent sheaves and at the same time we weaken the hypotheses on the functor. As an application we get a complete description of the exact functors between the abelian categories of twisted coherent sheaves on smooth projective varieties.