The extremal secant conjecture for curves of arbitrary gonality

被引：2

作者：

Kemeny, Michael ^{[1
]}

机构：

[1] Humboldt Univ, Inst Math, Unter Linden 6, D-10099 Berlin, Germany

来源：

COMPOSITIO MATHEMATICA | 2017年 / 153卷 / 02期

关键词：

syzygies; curves; gonality; secant conjecture; SYZYGY CONJECTURE; CANONICAL CURVES; ALGEBRAIC CURVE; LINEAR SERIES; DIVISORS; GENUS;

D O I：

10.1112/S0010437X16008198

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the Green- Lazarsfeld secant conjecture [Green and Lazarsfeld, On the projective normality of complete linear series on an algebraic curve, Invent. Math. 83 (1986), 73- 90; Conjecture (3.4)] for extremal line bundles on curves of arbitrary gonality, subject to explicit genericity assumptions.

引用

页码：347 / 357

页数：11

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