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arXiv · 2611.04293

Conjecture B for $X_{10}$ and its genus-two mirror

Alex Junior Gomez Saltachin
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Abstract

We prove Conjecture B of Akhtar--Coates--Corti--Heuberger--Kasprzyk--Oneto--Petracci--Prince--Tveiten unconditionally for the normalized family of maximally mutable Laurent polynomials with prescribed $T$-binomial edge coefficients associated with the degree-10 orbifold del Pezzo hypersurface $X_{10}\subset\mathbb{P}(1,2,3,5)$. An explicit $S$-extended quantum-period calculation determines the affine mirror map $λ=a-346$ and proves that the regularized quantum period equals the classical period as a formal power series throughout the family.

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Alex Junior Gomez Saltachin. 2026-11-03. Conjecture B for $X_{10}$ and its genus-two mirror. https://arxiv.org/abs/2611.04293

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