In this talk, we will study cohomological supports over complete intersections. With the method of exterior algebra, we show that cohomological supports detect containment of thick subcategories of bounded derived categories over locally complete intersections. As a corollary, thick subcategories of bounded derived categories over locally complete intersections are stable under Grothendieck duality. This was proved by Greg Stevenson when the ring is quotient of regular ring modulo a regular sequence. This is a joint work with Josh Pollitz.

会议ID：370 6440 2914

会议密码：123456