Two-dimensional complex tori with multiplication by $\sqrt{d}$

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dc.creatorRuppert, Wolfgang M.
dc.date1998-08-05
dc.date.accessioned2026-07-07T05:25:37Z
dc.date.available2026-07-07T05:25:37Z
dc.descriptionWe give an elementary argument for the well known fact that the endomorphism algebra $End_Q(A)$ of a simple complex abelian surface $A$ can neither be an imaginary quadratic field nor a definite quaternion algebra. Another consequence of our argument is that a two-dimensional complex torus $T$ with $Q(\sqrt{d})\subseteq End_Q(A)$ where $Q(\sqrt{d})$ is real quadratic, is algebraic.
dc.descriptionLatex, 4 pages
dc.identifierhttps://arxiv.org/abs/math/9808020
dc.identifierhttp://arxiv.org/abs/math/9808020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77248
dc.subjectAlgebraic Geometry
dc.subject14K20, 14K22, 32J20
dc.titleTwo-dimensional complex tori with multiplication by $\sqrt{d}$
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