Modular subgroups, dessins d’enfants and elliptic K3 surfaces
2013 ◽
Vol 16
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pp. 271-318
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Keyword(s):
AbstractWe 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 the index 36 subgroups, the corresponding Calabi–Yau threefolds are identified, in analogy with the index 24 cases being associated to K3 surfaces. In a parallel vein, we study the 112 semi-stable elliptic fibrations over ${ \mathbb{P} }^{1} $ as extremal K3 surfaces with six singular fibres. In each case, a representative of the corresponding class of subgroups is identified by specifying a generating set for that representative.
2020 ◽
2020 ◽
Vol 2020
(762)
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pp. 167-194
Keyword(s):
1994 ◽
pp. 47-78
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2015 ◽
Vol 25
(08)
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pp. 1275-1299
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Keyword(s):
Keyword(s):
2013 ◽
Vol 107
(1)
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pp. 76-120
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