Modular subgroups, dessins d’enfants and elliptic K3 surfaces

DOI10.1112/S1461157013000119zbMath1298.11058arXiv1211.1931MaRDI QIDQ5169604

James Read, Yang-Hui He, John McKay

Publication date: 11 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.1931

zbMATH Keywords

modular groupdessins d'enfantsCalabi-Yau threefoldK3 surface

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Structure of modular groups and generalizations; arithmetic groups (11F06) Arithmetic aspects of dessins d'enfants, Bely? theory (11G32)

Related Items

Gauge theories, tessellations \& Riemann surfaces, Dessins d'enfants in \( \mathcal{N}=2 \) generalised quiver theories, Some open questions in quiver gauge theory, Calculating and drawing Belyi pairs, A moonshine dialogue in mathematical physics, Gauge theories and dessins d'enfants: beyond the torus, Dessins d'enfants, Seiberg-Witten curves and conformal blocks, The Belyi Characterization of a Class of Modular Curves, Machine-learning dessins d’enfants: explorations via modular and Seiberg–Witten curves

Cites Work

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• Compactifications of F-theory on Calabi-Yau threefolds. I
• Compactifications of F-theory on Calabi-Yau threefolds. II
• Explicit equations of some elliptic modular surfaces
• Modular Subgroups, Forms, Curves and Surfaces
• Explicit calculation of elliptic fibrations of K3-surfaces and their Belyi-maps
• On Transitive Permutation Groups
• ${\cal N}=2$ N = 2 gauge theories: Congruence subgroups, coset graphs, and modular surfaces