Class invariants for quartic CM fields

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dc.creatorGoren, Eyal Z.
dc.creatorLauter, Kristin E.
dc.date2004-04-21
dc.date2004-05-14
dc.date.accessioned2026-07-07T05:07:36Z
dc.date.available2026-07-07T05:07:36Z
dc.descriptionOne can define class invariants for a quartic primitive CM field K as special values of certain Siegel (or Hilbert) modular functions at CM points corresponding to K. We provide explicit bounds on the primes appearing in the denominators of these algebraic numbers. This allows us, in particular, to construct S-units in certain abelian extensions of K, where S is effectively determined by K. It also yields class polynomials for primitive quartic CM fields whose coefficients are S-integers.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0404378
dc.identifierhttp://arxiv.org/abs/math/0404378
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70922
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G15; 11G16; 11G18; 11R27
dc.titleClass invariants for quartic CM fields
dc.typetext

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