Displaying similar documents to “Polarized surfaces ( X , L ) with g ( L ) = q ( X ) + m and h 0 ( L ) m + 2

Elliptic sufaces with a nef line bundle of genus two.

Antonio Lanteri, Cristina Turrini (1998)

Collectanea Mathematica

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Complex projective elliptic surfaces endowed with a numerically effective line bundle of arithmetic genus two are studied and partially classified. A key role is played by elliptic quasi-bundles, where some ideas developed by Serrano in order to study ample line bundles apply to this more general situation.

A note on a theorem of Xiao Gang.

Margarita Mendes Lopes (2004)

Collectanea Mathematica

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In 1985 Xiao Gang proved that the bicanonical surface of a complex surface S of general type with p2(S) > 2 is not composed of a pencil. In this note a new proof of this theorem is presented.