Higher direct images and its applications


許嘉麟 ( National Taiwan University )
2022-07-28  14:00 - 16:00
Room 201, Astronomy and Mathematics Building


In previous classes, we have discussed sheaf cohomology. Now, we replace the role of global section functor by direct image, and the new right derived functors are called higher direct images.

The first part consists of the structure of higher direct image in different categories and analogous results to sheaf cohomology. E.g., Čech cohomology. In the second part, we will give an application on the projective space bundle and its relative differential.