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

Zongrui Yang

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arXiv · 2202.04234

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

Zongrui Yang

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Abstract

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

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Zongrui Yang. 2022-02-09. Gamma conjecture I for blowing up $\mathbb{P}^n$ along $\mathbb{P}^r$. https://arxiv.org/abs/2202.04234

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