2018/12/13 by Jiang, Qingyuan
#Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1812.05685
In this note, we generalize the linear duality between vector subbundles (or equivalently quotient bundles) of dual vector bundles to coherent quotients V \twoheadrightarrow \mathscrL considered in arXiv:1811.12525, in the framework of Kuznetsov's homological projective duality (HPD). As an application, we obtain a generalized version of the fundamental theorem of HPD for the ℙ(\mathscrL)-sections and the respective dual sections of a given HPD pair.