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arXiv · 2409.17449

Stringy Hodge numbers of Pfaffian double mirrors and Homological Projective Duality

Zengrui Han
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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 $E$-functions and obtain interesting relations between the modified stringy $E$-functions on the two sides. We use them to make numerical predictions on the Lefschetz decompositions of the categorical crepant resolutions of Pfaffian varieties.

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Zengrui Han. 2024-10-20. Stringy Hodge numbers of Pfaffian double mirrors and Homological Projective Duality. https://arxiv.org/abs/2409.17449

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