Higher Kahler differentials and higher Jacobian ideals

Speaker: PGS. TS. Lê Quý Thường (Viện Toán học)
Time: 9:30 -- 11:00, November 15, 2023.

Venue: Room 612, A6, Institute of Mathematics, VAST

Abstract: Generalizing Yasuda's n-th Nash blowup to that of any morphism of varieties arises a standard sheaf of ideals which plays the role of a center of an isomorphic blowup. Such a standard sheaf is called the n-th Jacobian ideal of the morphism. We show that this sheaf can be obtained by taking a certain Fitting ideal of the n-th Kahler differential of the morphism.