Blowing up linear categories, refinements, and homological projective duality with base locus
Algebraic Geometry
2019-09-24 v2
Abstract
In this paper, we first introduce geometric operations for linear categories, and as a consequence generalize Orlov's blow up formula [O04] to possibly singular local complete intersection centres. Second, we introduce refined blowing up of linear category along base--locus, and show that this operation is dual to taking linear section. Finally, as an application we produce examples of Calabi--Yau manifolds which admits Calabi--Yau categories fibrations over projective spaces.
Keywords
Cite
@article{arxiv.1811.05132,
title = {Blowing up linear categories, refinements, and homological projective duality with base locus},
author = {Qingyuan Jiang and Naichung Conan Leung},
journal= {arXiv preprint arXiv:1811.05132},
year = {2019}
}
Comments
41 pages. Comments are welcome! v2: applications to CY fibrations added