论文标题
分类Torelli定理：结果和开放问题
Categorical Torelli theorems: results and open problems
论文作者
论文摘要
我们调查了有关所谓的分类托雷利问题的一些最新结果。这就是说，如何通过使用此类相干滑轮有限的派生类别的特殊可允许的子类别的同源性特性来重建流畅的投射变体，直至同构。重点是Enriques表面，主要的Fano三倍和立方四倍。
We survey some recent results concerning the so called Categorical Torelli problem. This is to say how one can reconstruct a smooth projective variety up to isomorphism, by using the homological properties of special admissible subcategories of the bounded derived category of coherent sheaves of such a variety. The focus is on Enriques surfaces, prime Fano threefolds and cubic fourfolds.
