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

Zongrui Yang

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

Algebraic Geometry 2022-02-10 v1

Authors: Zongrui Yang

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].

Keywords

fano varieties blow-up conjectures and proofs

Cite

@article{arxiv.2202.04234,
  title  = {Gamma conjecture I for blowing up $\mathbb{P}^n$ along $\mathbb{P}^r$},
  author = {Zongrui Yang},
  journal= {arXiv preprint arXiv:2202.04234},
  year   = {2022}
}

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