2023/03/06 by Andreas Hochenegger, Hochenegger, Andreas, Andreas Krug +1
#math.AG #math.CT
paper · pdf · doi:10.48550/arxiv.2303.03436
Recently, a new definition of \mathbb P-functors was proposed by Anno and Logvinenko. In their article, the authors wonder whether this notion is symmetric in the sense that the adjoints of \mathbb P-functors are again \mathbb P-functors, the analogue being true for spherical functors. We give geometric examples involving the Hilbert scheme of points on a surface that yield a negative answer.