Stringy Hodge numbers of Pfaffian double mirrors and Homological Projective Duality
Algebraic Geometry
2024-10-22 v3
Abstract
We study the stringy Hodge numbers of Pfaffian double mirrors, generalizing previous results of Borisov and Libgober. In the even-dimensional cases, we introduce a modified version of stringy -functions and obtain interesting relations between the modified stringy -functions on the two sides. We use them to make numerical predictions on the Lefschetz decompositions of the categorical crepant resolutions of Pfaffian varieties.
Keywords
Cite
@article{arxiv.2409.17449,
title = {Stringy Hodge numbers of Pfaffian double mirrors and Homological Projective Duality},
author = {Zengrui Han},
journal= {arXiv preprint arXiv:2409.17449},
year = {2024}
}
Comments
33 pages; typos fixed; exposition improved; acknowledgement updated