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bound of selfintersection of dualizing sheaves on arithmertic surfaces with reducible fibres
 MR 97b:14025, Zbl 0845.14015
, 1996
"... Abstract. Let K be an algebraic number field and OK the ring of integers of K. Let f: X → Spec(OK) be a stable arithmetic surface over OK of genus g ≥ 2. In this short note, we will prove that if f has a reducible geometric fiber, then (ω Ar ..."
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Abstract. Let K be an algebraic number field and OK the ring of integers of K. Let f: X → Spec(OK) be a stable arithmetic surface over OK of genus g ≥ 2. In this short note, we will prove that if f has a reducible geometric fiber, then (ω Ar