Adjoint linear systems on algebraic surfaces

Tong Zhang

doi:10.1142/S0129167X13500195

Adjoint linear systems on algebraic surfaces

Tong Zhang

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study the adjoint linear system |K_S + L| on a complex surface S of general type. For a nef divisor L on S, we give a numerical criterion for φK_S+L to be generically finite. A question of Chen and Viehweg [Bicanonical and adjoint linear system on surface of general type, Pacific J. Math. 219 (2005) 83-95] is studied and we give some partial evidence for this question to be true.

Original language	English
Article number	1350019
Journal	International Journal of Mathematics
Volume	24
Issue number	3
DOIs	https://doi.org/10.1142/S0129167X13500195
State	Published - Mar 2013

Keywords

Algebraic surfaces
adjoint linear systems

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10.1142/S0129167X13500195

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abstract = "In this paper, we study the adjoint linear system |KS + L| on a complex surface S of general type. For a nef divisor L on S, we give a numerical criterion for φKS+L to be generically finite. A question of Chen and Viehweg [Bicanonical and adjoint linear system on surface of general type, Pacific J. Math. 219 (2005) 83-95] is studied and we give some partial evidence for this question to be true.",

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AB - In this paper, we study the adjoint linear system |KS + L| on a complex surface S of general type. For a nef divisor L on S, we give a numerical criterion for φKS+L to be generically finite. A question of Chen and Viehweg [Bicanonical and adjoint linear system on surface of general type, Pacific J. Math. 219 (2005) 83-95] is studied and we give some partial evidence for this question to be true.

KW - Algebraic surfaces

KW - adjoint linear systems

UR - https://www.scopus.com/pages/publications/84876736189

U2 - 10.1142/S0129167X13500195

DO - 10.1142/S0129167X13500195

M3 - 文章

AN - SCOPUS:84876736189

SN - 0129-167X

VL - 24

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 3

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Adjoint linear systems on algebraic surfaces

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Keywords

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