EXPLICIT EQUATIONS OF SOME ELLIPTIC MODULAR SURFACES

EXPLICIT EQUATIONS OF SOME ELLIPTIC MODULAR SURFACES

We present explicit equations of semi-stable elliptic surfaces (i.e., having only type In singular fibers) which are associated to the torsion-free genus zero congruence subgroups of the modular group as classified by A. Sebbar.

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Veröffentlicht in:The Rocky Mountain journal of mathematics 2007-01, Vol.37 (2), p.663-687
Hauptverfasser: TOP, JAAP, YUI, NORIKO
Format: Artikel
Sprache:eng
Schlagworte:
14J27
14J29
Coordinate systems
cusp widths
elliptic modular surfaces
Genus zero congruence subgroups
Integers
Mathematical congruence
Mathematical cusps
Mathematical surfaces
Morphisms
Polynomials
semi-stable elliptic surface
surfaces of general type
Zero
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Beschreibung
Zusammenfassung:We present explicit equations of semi-stable elliptic surfaces (i.e., having only type In singular fibers) which are associated to the torsion-free genus zero congruence subgroups of the modular group as classified by A. Sebbar.
ISSN:0035-7596
1945-3795
DOI:10.1216/rmjm/1181068772