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Higher direct images for resolutions of normal surface singularities

Dmitrii Rachenkov
Friday, April 29, 2022 - 16:30 to 17:30

For morphism of surfaces, that is in our context a resolution of normal singularity, there is a pushforward in the categories of coherent sheaves. The right derived functors of the pushforward, that are also called higher direct images, take part in the definition of rational singularities: the first derived functor should be equal to zero.In the talk I am going to discuss some properties of higher direct images for the surface case and calculate one example.

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