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.
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页码：347 / 357
页数：11
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