Derived category of projectivization and generalized linear duality

Qingyuan Jiang

Research output: Working paper

Abstract

In this note, we generalize the linear duality between vector subbundles (or equivalently quotient bundles) of dual vector bundles to coherent quotients $V \twoheadrightarrow \mathscr{L}$ 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 $\mathbb{P}(\mathscr{L})$-sections and the respective dual sections of a given HPD pair.
Original languageEnglish
PublisherArXiv
Publication statusPublished - 13 Dec 2018

Keywords / Materials (for Non-textual outputs)

  • math.AG

Fingerprint

Dive into the research topics of 'Derived category of projectivization and generalized linear duality'. Together they form a unique fingerprint.

Cite this