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arXiv · 1811.05132

Blowing up linear categories, refinements, and homological projective duality with base locus

Qingyuan Jiang·Naichung Conan Leung
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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.

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Qingyuan Jiang, Naichung Conan Leung. 2019-09-22. Blowing up linear categories, refinements, and homological projective duality with base locus. https://arxiv.org/abs/1811.05132

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