Bicanonical and adjoint linear systems on surfaces of general type

• Autores: Meng Cheng
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 219, Nº 1, 2005, págs. 83-96
• Idioma: inglés
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• Resumen

  • This note contains a new proof of a theorem of Gang Xiao saying that the bicanonical map of a surface S of general type is generically ?nite if and only if p2(S) > 2. Such properties are also studied for adjoint linear systems |KS + L|, where L is any divisor with h0(S,OS(L)) = 2.