Machine-learning dessins d'enfants: explorations via modular and Seiberg–Witten curves
We apply machine-learning to the study of dessins d'enfants. Specifically, we investigate a
class of dessins which reside at the intersection of the investigations of modular subgroups …
class of dessins which reside at the intersection of the investigations of modular subgroups …
[PDF][PDF] Enriques surfaces I
F Cossec, I Dolgachev, C Liedtke - preprint, 2022 - academia.edu
The book gives a contemporary account of the study of the class of projective algebraic
surfaces known as Enriques surfaces. These surfaces were discovered more than 125 years …
surfaces known as Enriques surfaces. These surfaces were discovered more than 125 years …
[PDF][PDF] Enriques surfaces II
I Dolgachev, S Kondo - preparation, already available from …, 2021 - dept.math.lsa.umich.edu
The book gives a contemporary account of the study of the class of projective algebraic
surfaces known as Enriques surfaces. These surfaces were discovered more than 125 years …
surfaces known as Enriques surfaces. These surfaces were discovered more than 125 years …
N=2 gauge theories: Congruence subgroups, coset graphs, and modular surfaces
YH He, J McKay - Journal of Mathematical Physics, 2013 - pubs.aip.org
We establish a correspondence between generalized quiver gauge theories in four
dimensions and congruence subgroups of the modular group, hinging upon the trivalent …
dimensions and congruence subgroups of the modular group, hinging upon the trivalent …
Modular subgroups, dessins d'enfants and elliptic K3 surfaces
We consider the 33 conjugacy classes of genus zero, torsion-free modular subgroups,
computing ramification data and Grothendieck's dessins d'enfants. In the particular case of …
computing ramification data and Grothendieck's dessins d'enfants. In the particular case of …
[PDF][PDF] Explicit calculation of elliptic fibrations of K3-surfaces and their Belyi-maps
F Beukers, H Montanus - London Mathematical Society Lecture …, 2008 - researchgate.net
EXPLICIT CALCULATION OF ELLIPTIC FIBRATIONS OF K3-SURFACES AND THEIR
BELYI-MAPS 1. Introduction In a paper by Miranda and Persso Page 1 EXPLICIT …
BELYI-MAPS 1. Introduction In a paper by Miranda and Persso Page 1 EXPLICIT …
Dessins d'enfants, Seiberg-Witten curves and conformal blocks
A bstract We show how to map Grothendieck's dessins d'enfants to algebraic curves as
Seiberg-Witten curves, then use the mirror map and the AGT map to obtain the …
Seiberg-Witten curves, then use the mirror map and the AGT map to obtain the …
Kashiwa Lectures on" New Approaches to the Monster"
J McKay, YH He - arxiv preprint arxiv:2106.01162, 2021 - arxiv.org
These notes stem from lectures given by the first author (JM) at the 2008" Moonshine
Conference in Kashiwa" and contain a number of new perspectives and observations on …
Conference in Kashiwa" and contain a number of new perspectives and observations on …
Dessins d'enfants in generalised quiver theories
A bstract We study Grothendieck's dessins d'enfants in the context of the\(\mathcal {N}= 2\)
supersymmetric gauge theories in (3+ 1) dimensions with product SU (2) gauge groups …
supersymmetric gauge theories in (3+ 1) dimensions with product SU (2) gauge groups …
Modular subgroups, forms, curves and surfaces
A Sebbar - Canadian Mathematical Bulletin, 2002 - cambridge.org
Modular Subgroups, Forms, Curves and Surfaces Page 1 Canad. Math. Bull. Vol. 45 (2), 2002
pp. 294–308 Modular Subgroups, Forms, Curves and Surfaces Abdellah Sebbar Abstract. We …
pp. 294–308 Modular Subgroups, Forms, Curves and Surfaces Abdellah Sebbar Abstract. We …