ON THE IRREDUCIBILITY OF SEVERI VARIETIES ON K3 SURFACES

被引：4
|
作者：
Ciliberto, C. [1 ]
Dedieu, Th. [2 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00133 Rome, Italy
[2] Univ Toulouse, Inst Math Toulouse, CNRS, UMR5219,UPS,IMT, F-31062 Toulouse 9, France
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 10期
基金：
欧盟地平线“2020”;
关键词：
RATIONAL CURVES; EQUISINGULAR FAMILIES; PARAMETER SPACES; DIVISORS;
D O I：
10.1090/proc/14559
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let (S, L) be a polarized K3 surface of genus p >= 11 such that Pic(S) = Z[L] and delta is a non-negative integer. We prove that if p >= 4 delta - 3, then the Severi variety of delta-nodal curves in vertical bar L vertical bar is irreducible.
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页码：4233 / 4244
页数：12
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