Open Collections will undergo maintenance on Thursday, July 24th, 2025. The site will not be available from 8:00 AM - 9:00 AM PST and performance may be impacted from 9:00 AM - 12:00 PM PST.

BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Spherical pair for a flop Bodzenta, Agnieszka

Description

Consider varieties X and X^+ related by flopping contractions f: X \to Y, f^+: X^+ \to Y with fibers of dimension less than or equal to one. The null category for f is the category of sheaves on X with vanishing derived direct image. I will show that the derived categories of null categories for f and f^+ form a spherical pair in an appropriate quotient of the derived category of the fiber product of X and X^+ over Y. The associated auto-equivalence of the derived category of X is the flop-flop functor. This is a joint work with A. Bondal.

Item Media

Item Citations and Data

Rights

Attribution-NonCommercial-NoDerivatives 4.0 International