Title of Seminar: Algebraic Geometry Preprint Seminar
Title of Talk: Fully faithful functors, skyscraper sheaves and birational equivalence
Speaker: Sandeep S, TIFR, Mumbai
Date: March 5, 2024
Time: 16:00:00 Hours
Venue: AG-77
Abstract: For a smooth projective variety $X$, the bounded derived category $D^b(X)$ encodes a great deal of information about $X$ by the results of Bondal, Orlov, Kawamata, etc. The preprint https://arxiv.org/abs/2402.1257 by Li, Lin and Zhao shows that if there is a fully faithful exact functor between $D^b(X)$ and $D^b(Y)$ sending some skyscraper sheaf to a skyscraper sheaf, then $X$ and $Y$ are birational. In the talk, we will state the main results and outline the proofs.
Title of Talk: Fully faithful functors, skyscraper sheaves and birational equivalence
Speaker: Sandeep S, TIFR, Mumbai
Date: March 5, 2024
Time: 16:00:00 Hours
Venue: AG-77
Abstract: For a smooth projective variety $X$, the bounded derived category $D^b(X)$ encodes a great deal of information about $X$ by the results of Bondal, Orlov, Kawamata, etc. The preprint https://arxiv.org/abs/2402.1257 by Li, Lin and Zhao shows that if there is a fully faithful exact functor between $D^b(X)$ and $D^b(Y)$ sending some skyscraper sheaf to a skyscraper sheaf, then $X$ and $Y$ are birational. In the talk, we will state the main results and outline the proofs.