Arithmetic proportional elliptic configurations with comparatively large number of irreducible components. (English) Zbl 1158.14311
Mladenov, Ivaïlo M.(ed.) et al., Proceedings of the 6th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 3–10, 2004. Sofia: Bulgarian Academy of Sciences (ISBN 954-84952-9-5/pbk). 252-261 (2005).
Summary: Let be an arithmetic proportional elliptic configuration on a bielliptic surface with complex multiplication by an imaginary quadratic number field . The present note establishes that if T has s singular points and irreducible smooth elliptic components, then and is -equivalent to Hirzebruch’s example with a unique singular point and 4 irreducible components.
|11G15||Complex multiplication and moduli of abelian varieties|