Gamma conjecture I for blowing up Pn\mathbb{P}^n along Pr\mathbb{P}^r

preprint2022arXivOpen access

Abstract

Consider the Fano manifold XX formed by blowing up Pn\mathbb{P}^n along its linear subspace Pr\mathbb{P}^r, we check the conifold conditions [3, 1] for its mirror Laurent polynomial ff, which can imply that XX satisfies both Conjecture O\mathcal{O} and Gamma conjecture I by Galkin-Golyshev-Iritani [2].

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